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Finding the Fourth Proportional to 691.36, 1,034.71 and 576.03

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Solution

The fourth proportional to 691.36, 1,034.71 and 576.03 is: 862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.36 : 1,034.71 = 576.03 : x
  2. Step 2: Convert to fraction form
    691.36/1,034.71 = 576.03/x
  3. Step 3: Cross multiply
    691.36x = 1,034.71 × 576.03
  4. Step 4: Simplify right side
    691.36x = 596,024.00
  5. Step 5: Solve for x
    x = 596,024.00/691.36
  6. Step 6: Final answer
    x = 862.10

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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.