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Finding the Fourth Proportional to 654.30, 981.45 and 565.20

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Solution

The fourth proportional to 654.30, 981.45 and 565.20 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.30 : 981.45 = 565.20 : x
  2. Step 2: Convert to fraction form
    654.30/981.45 = 565.20/x
  3. Step 3: Cross multiply
    654.30x = 981.45 × 565.20
  4. Step 4: Simplify right side
    654.30x = 554,715.54
  5. Step 5: Solve for x
    x = 554,715.54/654.30
  6. Step 6: Final answer
    x = 847.80

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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.