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Finding the Fourth Proportional to 1,118.58, 1,678.71 and 425.73

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Solution

The fourth proportional to 1,118.58, 1,678.71 and 425.73 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.58 : 1,678.71 = 425.73 : x
  2. Step 2: Convert to fraction form
    1,118.58/1,678.71 = 425.73/x
  3. Step 3: Cross multiply
    1,118.58x = 1,678.71 × 425.73
  4. Step 4: Simplify right side
    1,118.58x = 714,677.21
  5. Step 5: Solve for x
    x = 714,677.21/1,118.58
  6. Step 6: Final answer
    x = 638.91

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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.