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Finding the Fourth Proportional to 1,123.21, 1,685.09 and 353.71

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Solution

The fourth proportional to 1,123.21, 1,685.09 and 353.71 is: 530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.21 : 1,685.09 = 353.71 : x
  2. Step 2: Convert to fraction form
    1,123.21/1,685.09 = 353.71/x
  3. Step 3: Cross multiply
    1,123.21x = 1,685.09 × 353.71
  4. Step 4: Simplify right side
    1,123.21x = 596,031.42
  5. Step 5: Solve for x
    x = 596,031.42/1,123.21
  6. Step 6: Final answer
    x = 530.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.