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Finding the Fourth Proportional to 1,004.38, 1,506.58 and 355.12

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Solution

The fourth proportional to 1,004.38, 1,506.58 and 355.12 is: 532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.38 : 1,506.58 = 355.12 : x
  2. Step 2: Convert to fraction form
    1,004.38/1,506.58 = 355.12/x
  3. Step 3: Cross multiply
    1,004.38x = 1,506.58 × 355.12
  4. Step 4: Simplify right side
    1,004.38x = 535,012.04
  5. Step 5: Solve for x
    x = 535,012.04/1,004.38
  6. Step 6: Final answer
    x = 532.68

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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.