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Finding the Fourth Proportional to 1,032.86, 1,549.12 and 302.27

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Solution

The fourth proportional to 1,032.86, 1,549.12 and 302.27 is: 453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.86 : 1,549.12 = 302.27 : x
  2. Step 2: Convert to fraction form
    1,032.86/1,549.12 = 302.27/x
  3. Step 3: Cross multiply
    1,032.86x = 1,549.12 × 302.27
  4. Step 4: Simplify right side
    1,032.86x = 468,244.00
  5. Step 5: Solve for x
    x = 468,244.00/1,032.86
  6. Step 6: Final answer
    x = 453.35

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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.