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Finding the Fourth Proportional to 613.04, 915.07 and 540.14

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Solution

The fourth proportional to 613.04, 915.07 and 540.14 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.04 : 915.07 = 540.14 : x
  2. Step 2: Convert to fraction form
    613.04/915.07 = 540.14/x
  3. Step 3: Cross multiply
    613.04x = 915.07 × 540.14
  4. Step 4: Simplify right side
    613.04x = 494,265.91
  5. Step 5: Solve for x
    x = 494,265.91/613.04
  6. Step 6: Final answer
    x = 806.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.