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Finding the Fourth Proportional to 1,132.90, 1,699.12 and 310.96

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Solution

The fourth proportional to 1,132.90, 1,699.12 and 310.96 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.90 : 1,699.12 = 310.96 : x
  2. Step 2: Convert to fraction form
    1,132.90/1,699.12 = 310.96/x
  3. Step 3: Cross multiply
    1,132.90x = 1,699.12 × 310.96
  4. Step 4: Simplify right side
    1,132.90x = 528,358.36
  5. Step 5: Solve for x
    x = 528,358.36/1,132.90
  6. Step 6: Final answer
    x = 466.38

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Why These Related Problems?

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