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Finding the Fourth Proportional to 1,152.28, 1,726.18 and 689.08

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Solution

The fourth proportional to 1,152.28, 1,726.18 and 689.08 is: 1,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.28 : 1,726.18 = 689.08 : x
  2. Step 2: Convert to fraction form
    1,152.28/1,726.18 = 689.08/x
  3. Step 3: Cross multiply
    1,152.28x = 1,726.18 × 689.08
  4. Step 4: Simplify right side
    1,152.28x = 1,189,476.11
  5. Step 5: Solve for x
    x = 1,189,476.11/1,152.28
  6. Step 6: Final answer
    x = 1,032.28

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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.