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Finding the Fourth Proportional to 944.62, 1,415.58 and 532.90

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Solution

The fourth proportional to 944.62, 1,415.58 and 532.90 is: 798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.62 : 1,415.58 = 532.90 : x
  2. Step 2: Convert to fraction form
    944.62/1,415.58 = 532.90/x
  3. Step 3: Cross multiply
    944.62x = 1,415.58 × 532.90
  4. Step 4: Simplify right side
    944.62x = 754,362.58
  5. Step 5: Solve for x
    x = 754,362.58/944.62
  6. Step 6: Final answer
    x = 798.59

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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.