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Finding the Fourth Proportional to 652.70, 981.45 and 547.10

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Solution

The fourth proportional to 652.70, 981.45 and 547.10 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.70 : 981.45 = 547.10 : x
  2. Step 2: Convert to fraction form
    652.70/981.45 = 547.10/x
  3. Step 3: Cross multiply
    652.70x = 981.45 × 547.10
  4. Step 4: Simplify right side
    652.70x = 536,951.30
  5. Step 5: Solve for x
    x = 536,951.30/652.70
  6. Step 6: Final answer
    x = 822.66

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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.