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Finding the Fourth Proportional to 1,114.53, 1,538.18 and 648.75

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Solution

The fourth proportional to 1,114.53, 1,538.18 and 648.75 is: 895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.53 : 1,538.18 = 648.75 : x
  2. Step 2: Convert to fraction form
    1,114.53/1,538.18 = 648.75/x
  3. Step 3: Cross multiply
    1,114.53x = 1,538.18 × 648.75
  4. Step 4: Simplify right side
    1,114.53x = 997,891.03
  5. Step 5: Solve for x
    x = 997,891.03/1,114.53
  6. Step 6: Final answer
    x = 895.35

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.