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Finding the Fourth Proportional to 981.75, 1,473.24 and 571.08

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Solution

The fourth proportional to 981.75, 1,473.24 and 571.08 is: 856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.75 : 1,473.24 = 571.08 : x
  2. Step 2: Convert to fraction form
    981.75/1,473.24 = 571.08/x
  3. Step 3: Cross multiply
    981.75x = 1,473.24 × 571.08
  4. Step 4: Simplify right side
    981.75x = 841,337.90
  5. Step 5: Solve for x
    x = 841,337.90/981.75
  6. Step 6: Final answer
    x = 856.98

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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.