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Finding the Fourth Proportional to 932.84, 1,287.06 and 534.50

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Solution

The fourth proportional to 932.84, 1,287.06 and 534.50 is: 737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.84 : 1,287.06 = 534.50 : x
  2. Step 2: Convert to fraction form
    932.84/1,287.06 = 534.50/x
  3. Step 3: Cross multiply
    932.84x = 1,287.06 × 534.50
  4. Step 4: Simplify right side
    932.84x = 687,933.57
  5. Step 5: Solve for x
    x = 687,933.57/932.84
  6. Step 6: Final answer
    x = 737.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.