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Finding the Fourth Proportional to 781.95, 1,174.05 and 457.50

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Solution

The fourth proportional to 781.95, 1,174.05 and 457.50 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.95 : 1,174.05 = 457.50 : x
  2. Step 2: Convert to fraction form
    781.95/1,174.05 = 457.50/x
  3. Step 3: Cross multiply
    781.95x = 1,174.05 × 457.50
  4. Step 4: Simplify right side
    781.95x = 537,127.88
  5. Step 5: Solve for x
    x = 537,127.88/781.95
  6. Step 6: Final answer
    x = 686.91

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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.