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Finding the Fourth Proportional to 1,131.60, 1,688.10 and 1,033.68

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Solution

The fourth proportional to 1,131.60, 1,688.10 and 1,033.68 is: 1,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.60 : 1,688.10 = 1,033.68 : x
  2. Step 2: Convert to fraction form
    1,131.60/1,688.10 = 1,033.68/x
  3. Step 3: Cross multiply
    1,131.60x = 1,688.10 × 1,033.68
  4. Step 4: Simplify right side
    1,131.60x = 1,744,955.21
  5. Step 5: Solve for x
    x = 1,744,955.21/1,131.60
  6. Step 6: Final answer
    x = 1,542.02

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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.