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Finding the Fourth Proportional to 981.70, 1,354.41 and 562.06

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Solution

The fourth proportional to 981.70, 1,354.41 and 562.06 is: 775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.70 : 1,354.41 = 562.06 : x
  2. Step 2: Convert to fraction form
    981.70/1,354.41 = 562.06/x
  3. Step 3: Cross multiply
    981.70x = 1,354.41 × 562.06
  4. Step 4: Simplify right side
    981.70x = 761,259.68
  5. Step 5: Solve for x
    x = 761,259.68/981.70
  6. Step 6: Final answer
    x = 775.45

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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.