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Finding the Fourth Proportional to 1,032.70, 1,549.04 and 302.29

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Solution

The fourth proportional to 1,032.70, 1,549.04 and 302.29 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.70 : 1,549.04 = 302.29 : x
  2. Step 2: Convert to fraction form
    1,032.70/1,549.04 = 302.29/x
  3. Step 3: Cross multiply
    1,032.70x = 1,549.04 × 302.29
  4. Step 4: Simplify right side
    1,032.70x = 468,259.30
  5. Step 5: Solve for x
    x = 468,259.30/1,032.70
  6. Step 6: Final answer
    x = 453.43

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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.