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Finding the Fourth Proportional to 1,145.53, 1,580.74 and 648.19

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Solution

The fourth proportional to 1,145.53, 1,580.74 and 648.19 is: 894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.53 : 1,580.74 = 648.19 : x
  2. Step 2: Convert to fraction form
    1,145.53/1,580.74 = 648.19/x
  3. Step 3: Cross multiply
    1,145.53x = 1,580.74 × 648.19
  4. Step 4: Simplify right side
    1,145.53x = 1,024,619.86
  5. Step 5: Solve for x
    x = 1,024,619.86/1,145.53
  6. Step 6: Final answer
    x = 894.45

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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.