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Finding the Fourth Proportional to 781.84, 1,172.94 and 457.48

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Solution

The fourth proportional to 781.84, 1,172.94 and 457.48 is: 686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,172.94 = 457.48 : x
  2. Step 2: Convert to fraction form
    781.84/1,172.94 = 457.48/x
  3. Step 3: Cross multiply
    781.84x = 1,172.94 × 457.48
  4. Step 4: Simplify right side
    781.84x = 536,596.59
  5. Step 5: Solve for x
    x = 536,596.59/781.84
  6. Step 6: Final answer
    x = 686.33

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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.