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Finding the Fourth Proportional to 917.81, 1,374.62 and 552.17

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Solution

The fourth proportional to 917.81, 1,374.62 and 552.17 is: 826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.81 : 1,374.62 = 552.17 : x
  2. Step 2: Convert to fraction form
    917.81/1,374.62 = 552.17/x
  3. Step 3: Cross multiply
    917.81x = 1,374.62 × 552.17
  4. Step 4: Simplify right side
    917.81x = 759,024.60
  5. Step 5: Solve for x
    x = 759,024.60/917.81
  6. Step 6: Final answer
    x = 826.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.