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Finding the Fourth Proportional to 1,244.52, 1,868.16 and 725.13

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Solution

The fourth proportional to 1,244.52, 1,868.16 and 725.13 is: 1,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.52 : 1,868.16 = 725.13 : x
  2. Step 2: Convert to fraction form
    1,244.52/1,868.16 = 725.13/x
  3. Step 3: Cross multiply
    1,244.52x = 1,868.16 × 725.13
  4. Step 4: Simplify right side
    1,244.52x = 1,354,658.86
  5. Step 5: Solve for x
    x = 1,354,658.86/1,244.52
  6. Step 6: Final answer
    x = 1,088.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.