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Finding the Fourth Proportional to 932.03, 1,398.09 and 769.42

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Solution

The fourth proportional to 932.03, 1,398.09 and 769.42 is: 1,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.03 : 1,398.09 = 769.42 : x
  2. Step 2: Convert to fraction form
    932.03/1,398.09 = 769.42/x
  3. Step 3: Cross multiply
    932.03x = 1,398.09 × 769.42
  4. Step 4: Simplify right side
    932.03x = 1,075,718.41
  5. Step 5: Solve for x
    x = 1,075,718.41/932.03
  6. Step 6: Final answer
    x = 1,154.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.