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Finding the Fourth Proportional to 1,131.60, 1,685.70 and 1,031.76

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Solution

The fourth proportional to 1,131.60, 1,685.70 and 1,031.76 is: 1,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.60 : 1,685.70 = 1,031.76 : x
  2. Step 2: Convert to fraction form
    1,131.60/1,685.70 = 1,031.76/x
  3. Step 3: Cross multiply
    1,131.60x = 1,685.70 × 1,031.76
  4. Step 4: Simplify right side
    1,131.60x = 1,739,237.83
  5. Step 5: Solve for x
    x = 1,739,237.83/1,131.60
  6. Step 6: Final answer
    x = 1,536.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.