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Finding the Fourth Proportional to 1,013.07, 1,519.08 and 492.74

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Solution

The fourth proportional to 1,013.07, 1,519.08 and 492.74 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.07 : 1,519.08 = 492.74 : x
  2. Step 2: Convert to fraction form
    1,013.07/1,519.08 = 492.74/x
  3. Step 3: Cross multiply
    1,013.07x = 1,519.08 × 492.74
  4. Step 4: Simplify right side
    1,013.07x = 748,503.88
  5. Step 5: Solve for x
    x = 748,503.88/1,013.07
  6. Step 6: Final answer
    x = 738.85

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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.