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Finding the Fourth Proportional to 981.60, 1,472.04 and 433.50

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Solution

The fourth proportional to 981.60, 1,472.04 and 433.50 is: 650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.60 : 1,472.04 = 433.50 : x
  2. Step 2: Convert to fraction form
    981.60/1,472.04 = 433.50/x
  3. Step 3: Cross multiply
    981.60x = 1,472.04 × 433.50
  4. Step 4: Simplify right side
    981.60x = 638,129.34
  5. Step 5: Solve for x
    x = 638,129.34/981.60
  6. Step 6: Final answer
    x = 650.09

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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.