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Finding the Fourth Proportional to 1,124.25, 1,686.38 and 393.66

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Solution

The fourth proportional to 1,124.25, 1,686.38 and 393.66 is: 590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.25 : 1,686.38 = 393.66 : x
  2. Step 2: Convert to fraction form
    1,124.25/1,686.38 = 393.66/x
  3. Step 3: Cross multiply
    1,124.25x = 1,686.38 × 393.66
  4. Step 4: Simplify right side
    1,124.25x = 663,849.95
  5. Step 5: Solve for x
    x = 663,849.95/1,124.25
  6. Step 6: Final answer
    x = 590.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.