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Finding the Fourth Proportional to 1,117.10, 1,672.36 and 726.19

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Solution

The fourth proportional to 1,117.10, 1,672.36 and 726.19 is: 1,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.10 : 1,672.36 = 726.19 : x
  2. Step 2: Convert to fraction form
    1,117.10/1,672.36 = 726.19/x
  3. Step 3: Cross multiply
    1,117.10x = 1,672.36 × 726.19
  4. Step 4: Simplify right side
    1,117.10x = 1,214,451.11
  5. Step 5: Solve for x
    x = 1,214,451.11/1,117.10
  6. Step 6: Final answer
    x = 1,087.15

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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.