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Finding the Fourth Proportional to 1,123.41, 1,685.84 and 474.15

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Solution

The fourth proportional to 1,123.41, 1,685.84 and 474.15 is: 711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.41 : 1,685.84 = 474.15 : x
  2. Step 2: Convert to fraction form
    1,123.41/1,685.84 = 474.15/x
  3. Step 3: Cross multiply
    1,123.41x = 1,685.84 × 474.15
  4. Step 4: Simplify right side
    1,123.41x = 799,341.04
  5. Step 5: Solve for x
    x = 799,341.04/1,123.41
  6. Step 6: Final answer
    x = 711.53

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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.