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Finding the Fourth Proportional to 1,129.24, 1,693.88 and 398.82

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Solution

The fourth proportional to 1,129.24, 1,693.88 and 398.82 is: 598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.24 : 1,693.88 = 398.82 : x
  2. Step 2: Convert to fraction form
    1,129.24/1,693.88 = 398.82/x
  3. Step 3: Cross multiply
    1,129.24x = 1,693.88 × 398.82
  4. Step 4: Simplify right side
    1,129.24x = 675,559.08
  5. Step 5: Solve for x
    x = 675,559.08/1,129.24
  6. Step 6: Final answer
    x = 598.24

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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.