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Finding the Fourth Proportional to 1,032.74, 1,549.14 and 302.30

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Solution

The fourth proportional to 1,032.74, 1,549.14 and 302.30 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.74 : 1,549.14 = 302.30 : x
  2. Step 2: Convert to fraction form
    1,032.74/1,549.14 = 302.30/x
  3. Step 3: Cross multiply
    1,032.74x = 1,549.14 × 302.30
  4. Step 4: Simplify right side
    1,032.74x = 468,305.02
  5. Step 5: Solve for x
    x = 468,305.02/1,032.74
  6. Step 6: Final answer
    x = 453.46

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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.