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Finding the Fourth Proportional to 691.80, 1,036.49 and 576.98

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Solution

The fourth proportional to 691.80, 1,036.49 and 576.98 is: 864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 1,036.49 = 576.98 : x
  2. Step 2: Convert to fraction form
    691.80/1,036.49 = 576.98/x
  3. Step 3: Cross multiply
    691.80x = 1,036.49 × 576.98
  4. Step 4: Simplify right side
    691.80x = 598,034.00
  5. Step 5: Solve for x
    x = 598,034.00/691.80
  6. Step 6: Final answer
    x = 864.46

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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.