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Finding the Fourth Proportional to 981.94, 1,355.06 and 562.27

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Solution

The fourth proportional to 981.94, 1,355.06 and 562.27 is: 775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.94 : 1,355.06 = 562.27 : x
  2. Step 2: Convert to fraction form
    981.94/1,355.06 = 562.27/x
  3. Step 3: Cross multiply
    981.94x = 1,355.06 × 562.27
  4. Step 4: Simplify right side
    981.94x = 761,909.59
  5. Step 5: Solve for x
    x = 761,909.59/981.94
  6. Step 6: Final answer
    x = 775.93

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