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Finding the Fourth Proportional to 1,132.56, 1,698.89 and 392.18

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Solution

The fourth proportional to 1,132.56, 1,698.89 and 392.18 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.56 : 1,698.89 = 392.18 : x
  2. Step 2: Convert to fraction form
    1,132.56/1,698.89 = 392.18/x
  3. Step 3: Cross multiply
    1,132.56x = 1,698.89 × 392.18
  4. Step 4: Simplify right side
    1,132.56x = 666,260.22
  5. Step 5: Solve for x
    x = 666,260.22/1,132.56
  6. Step 6: Final answer
    x = 588.28

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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.