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Finding the Fourth Proportional to 781.17, 1,172.08 and 415.86

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Solution

The fourth proportional to 781.17, 1,172.08 and 415.86 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.17 : 1,172.08 = 415.86 : x
  2. Step 2: Convert to fraction form
    781.17/1,172.08 = 415.86/x
  3. Step 3: Cross multiply
    781.17x = 1,172.08 × 415.86
  4. Step 4: Simplify right side
    781.17x = 487,421.19
  5. Step 5: Solve for x
    x = 487,421.19/781.17
  6. Step 6: Final answer
    x = 623.96

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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.