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Finding the Fourth Proportional to 693.38, 1,038.57 and 546.41

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Solution

The fourth proportional to 693.38, 1,038.57 and 546.41 is: 818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.38 : 1,038.57 = 546.41 : x
  2. Step 2: Convert to fraction form
    693.38/1,038.57 = 546.41/x
  3. Step 3: Cross multiply
    693.38x = 1,038.57 × 546.41
  4. Step 4: Simplify right side
    693.38x = 567,488.65
  5. Step 5: Solve for x
    x = 567,488.65/693.38
  6. Step 6: Final answer
    x = 818.44

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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.