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Finding the Fourth Proportional to 1,122.35, 1,683.51 and 391.74

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Solution

The fourth proportional to 1,122.35, 1,683.51 and 391.74 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.35 : 1,683.51 = 391.74 : x
  2. Step 2: Convert to fraction form
    1,122.35/1,683.51 = 391.74/x
  3. Step 3: Cross multiply
    1,122.35x = 1,683.51 × 391.74
  4. Step 4: Simplify right side
    1,122.35x = 659,498.21
  5. Step 5: Solve for x
    x = 659,498.21/1,122.35
  6. Step 6: Final answer
    x = 587.61

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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.