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Finding the Fourth Proportional to 1,005.03, 1,507.55 and 274.61

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Solution

The fourth proportional to 1,005.03, 1,507.55 and 274.61 is: 411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.03 : 1,507.55 = 274.61 : x
  2. Step 2: Convert to fraction form
    1,005.03/1,507.55 = 274.61/x
  3. Step 3: Cross multiply
    1,005.03x = 1,507.55 × 274.61
  4. Step 4: Simplify right side
    1,005.03x = 413,988.31
  5. Step 5: Solve for x
    x = 413,988.31/1,005.03
  6. Step 6: Final answer
    x = 411.92

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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.