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Finding the Fourth Proportional to 981.52, 1,354.56 and 649.72

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Solution

The fourth proportional to 981.52, 1,354.56 and 649.72 is: 896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.52 : 1,354.56 = 649.72 : x
  2. Step 2: Convert to fraction form
    981.52/1,354.56 = 649.72/x
  3. Step 3: Cross multiply
    981.52x = 1,354.56 × 649.72
  4. Step 4: Simplify right side
    981.52x = 880,084.72
  5. Step 5: Solve for x
    x = 880,084.72/981.52
  6. Step 6: Final answer
    x = 896.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.