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Finding the Fourth Proportional to 1,022.32, 1,532.81 and 437.70

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Solution

The fourth proportional to 1,022.32, 1,532.81 and 437.70 is: 656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.32 : 1,532.81 = 437.70 : x
  2. Step 2: Convert to fraction form
    1,022.32/1,532.81 = 437.70/x
  3. Step 3: Cross multiply
    1,022.32x = 1,532.81 × 437.70
  4. Step 4: Simplify right side
    1,022.32x = 670,901.08
  5. Step 5: Solve for x
    x = 670,901.08/1,022.32
  6. Step 6: Final answer
    x = 656.26

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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.