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Finding the Fourth Proportional to 1,004.29, 1,506.63 and 355.03

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Solution

The fourth proportional to 1,004.29, 1,506.63 and 355.03 is: 532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.29 : 1,506.63 = 355.03 : x
  2. Step 2: Convert to fraction form
    1,004.29/1,506.63 = 355.03/x
  3. Step 3: Cross multiply
    1,004.29x = 1,506.63 × 355.03
  4. Step 4: Simplify right side
    1,004.29x = 534,898.85
  5. Step 5: Solve for x
    x = 534,898.85/1,004.29
  6. Step 6: Final answer
    x = 532.61

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