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Finding the Fourth Proportional to 1,123.37, 1,685.33 and 353.87

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Solution

The fourth proportional to 1,123.37, 1,685.33 and 353.87 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.37 : 1,685.33 = 353.87 : x
  2. Step 2: Convert to fraction form
    1,123.37/1,685.33 = 353.87/x
  3. Step 3: Cross multiply
    1,123.37x = 1,685.33 × 353.87
  4. Step 4: Simplify right side
    1,123.37x = 596,385.96
  5. Step 5: Solve for x
    x = 596,385.96/1,123.37
  6. Step 6: Final answer
    x = 530.89

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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.