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Finding the Fourth Proportional to 1,124.18, 1,683.53 and 685.72

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Solution

The fourth proportional to 1,124.18, 1,683.53 and 685.72 is: 1,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.18 : 1,683.53 = 685.72 : x
  2. Step 2: Convert to fraction form
    1,124.18/1,683.53 = 685.72/x
  3. Step 3: Cross multiply
    1,124.18x = 1,683.53 × 685.72
  4. Step 4: Simplify right side
    1,124.18x = 1,154,425.83
  5. Step 5: Solve for x
    x = 1,154,425.83/1,124.18
  6. Step 6: Final answer
    x = 1,026.91

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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.