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Finding the Fourth Proportional to 1,065.83, 1,470.96 and 1,031.81

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Solution

The fourth proportional to 1,065.83, 1,470.96 and 1,031.81 is: 1,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.83 : 1,470.96 = 1,031.81 : x
  2. Step 2: Convert to fraction form
    1,065.83/1,470.96 = 1,031.81/x
  3. Step 3: Cross multiply
    1,065.83x = 1,470.96 × 1,031.81
  4. Step 4: Simplify right side
    1,065.83x = 1,517,743.88
  5. Step 5: Solve for x
    x = 1,517,743.88/1,065.83
  6. Step 6: Final answer
    x = 1,424.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.