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Finding the Fourth Proportional to 1,114.64, 1,538.12 and 648.80

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Solution

The fourth proportional to 1,114.64, 1,538.12 and 648.80 is: 895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,538.12 = 648.80 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,538.12 = 648.80/x
  3. Step 3: Cross multiply
    1,114.64x = 1,538.12 × 648.80
  4. Step 4: Simplify right side
    1,114.64x = 997,932.26
  5. Step 5: Solve for x
    x = 997,932.26/1,114.64
  6. Step 6: Final answer
    x = 895.30

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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.