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Finding the Fourth Proportional to 525.13, 782.80 and 501.55

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Solution

The fourth proportional to 525.13, 782.80 and 501.55 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.13 : 782.80 = 501.55 : x
  2. Step 2: Convert to fraction form
    525.13/782.80 = 501.55/x
  3. Step 3: Cross multiply
    525.13x = 782.80 × 501.55
  4. Step 4: Simplify right side
    525.13x = 392,613.34
  5. Step 5: Solve for x
    x = 392,613.34/525.13
  6. Step 6: Final answer
    x = 747.65

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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.