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Finding the Fourth Proportional to 874.90, 1,312.32 and 588.16

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Solution

The fourth proportional to 874.90, 1,312.32 and 588.16 is: 882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.90 : 1,312.32 = 588.16 : x
  2. Step 2: Convert to fraction form
    874.90/1,312.32 = 588.16/x
  3. Step 3: Cross multiply
    874.90x = 1,312.32 × 588.16
  4. Step 4: Simplify right side
    874.90x = 771,854.13
  5. Step 5: Solve for x
    x = 771,854.13/874.90
  6. Step 6: Final answer
    x = 882.22

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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.