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Finding the Fourth Proportional to 691.81, 1,038.04 and 358.49

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Solution

The fourth proportional to 691.81, 1,038.04 and 358.49 is: 537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.81 : 1,038.04 = 358.49 : x
  2. Step 2: Convert to fraction form
    691.81/1,038.04 = 358.49/x
  3. Step 3: Cross multiply
    691.81x = 1,038.04 × 358.49
  4. Step 4: Simplify right side
    691.81x = 372,128.66
  5. Step 5: Solve for x
    x = 372,128.66/691.81
  6. Step 6: Final answer
    x = 537.91

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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.