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Finding the Fourth Proportional to 1,022.46, 1,532.85 and 437.91

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Solution

The fourth proportional to 1,022.46, 1,532.85 and 437.91 is: 656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.46 : 1,532.85 = 437.91 : x
  2. Step 2: Convert to fraction form
    1,022.46/1,532.85 = 437.91/x
  3. Step 3: Cross multiply
    1,022.46x = 1,532.85 × 437.91
  4. Step 4: Simplify right side
    1,022.46x = 671,250.34
  5. Step 5: Solve for x
    x = 671,250.34/1,022.46
  6. Step 6: Final answer
    x = 656.51

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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.