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Finding the Fourth Proportional to 1,132.89, 1,699.76 and 771.09

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Solution

The fourth proportional to 1,132.89, 1,699.76 and 771.09 is: 1,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.89 : 1,699.76 = 771.09 : x
  2. Step 2: Convert to fraction form
    1,132.89/1,699.76 = 771.09/x
  3. Step 3: Cross multiply
    1,132.89x = 1,699.76 × 771.09
  4. Step 4: Simplify right side
    1,132.89x = 1,310,655.58
  5. Step 5: Solve for x
    x = 1,310,655.58/1,132.89
  6. Step 6: Final answer
    x = 1,156.92

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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.