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Finding the Fourth Proportional to 917.62, 1,377.48 and 858.16

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Solution

The fourth proportional to 917.62, 1,377.48 and 858.16 is: 1,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.62 : 1,377.48 = 858.16 : x
  2. Step 2: Convert to fraction form
    917.62/1,377.48 = 858.16/x
  3. Step 3: Cross multiply
    917.62x = 1,377.48 × 858.16
  4. Step 4: Simplify right side
    917.62x = 1,182,098.24
  5. Step 5: Solve for x
    x = 1,182,098.24/917.62
  6. Step 6: Final answer
    x = 1,288.22

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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.