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Finding the Fourth Proportional to 1,123.81, 1,685.85 and 302.10

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Solution

The fourth proportional to 1,123.81, 1,685.85 and 302.10 is: 453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.81 : 1,685.85 = 302.10 : x
  2. Step 2: Convert to fraction form
    1,123.81/1,685.85 = 302.10/x
  3. Step 3: Cross multiply
    1,123.81x = 1,685.85 × 302.10
  4. Step 4: Simplify right side
    1,123.81x = 509,287.83
  5. Step 5: Solve for x
    x = 509,287.83/1,123.81
  6. Step 6: Final answer
    x = 453.18

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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.