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Finding the Fourth Proportional to 1,132.77, 1,699.17 and 311.05

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Solution

The fourth proportional to 1,132.77, 1,699.17 and 311.05 is: 466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.77 : 1,699.17 = 311.05 : x
  2. Step 2: Convert to fraction form
    1,132.77/1,699.17 = 311.05/x
  3. Step 3: Cross multiply
    1,132.77x = 1,699.17 × 311.05
  4. Step 4: Simplify right side
    1,132.77x = 528,526.83
  5. Step 5: Solve for x
    x = 528,526.83/1,132.77
  6. Step 6: Final answer
    x = 466.58

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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.