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Finding the Fourth Proportional to 1,004.13, 1,506.20 and 354.69

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Solution

The fourth proportional to 1,004.13, 1,506.20 and 354.69 is: 532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.13 : 1,506.20 = 354.69 : x
  2. Step 2: Convert to fraction form
    1,004.13/1,506.20 = 354.69/x
  3. Step 3: Cross multiply
    1,004.13x = 1,506.20 × 354.69
  4. Step 4: Simplify right side
    1,004.13x = 534,232.30
  5. Step 5: Solve for x
    x = 534,232.30/1,004.13
  6. Step 6: Final answer
    x = 532.04

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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.