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Finding the Fourth Proportional to 617.81, 921.49 and 525.47

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Solution

The fourth proportional to 617.81, 921.49 and 525.47 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.81 : 921.49 = 525.47 : x
  2. Step 2: Convert to fraction form
    617.81/921.49 = 525.47/x
  3. Step 3: Cross multiply
    617.81x = 921.49 × 525.47
  4. Step 4: Simplify right side
    617.81x = 484,209.43
  5. Step 5: Solve for x
    x = 484,209.43/617.81
  6. Step 6: Final answer
    x = 783.76

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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.