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Finding the Fourth Proportional to 1,167.60, 1,743.12 and 1,038

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Solution

The fourth proportional to 1,167.60, 1,743.12 and 1,038 is: 1,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.60 : 1,743.12 = 1,038 : x
  2. Step 2: Convert to fraction form
    1,167.60/1,743.12 = 1,038/x
  3. Step 3: Cross multiply
    1,167.60x = 1,743.12 × 1,038
  4. Step 4: Simplify right side
    1,167.60x = 1,809,358.56
  5. Step 5: Solve for x
    x = 1,809,358.56/1,167.60
  6. Step 6: Final answer
    x = 1,549.64

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Why These Related Problems?

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