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Finding the Fourth Proportional to 1,013.03, 1,518.47 and 723.59

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Solution

The fourth proportional to 1,013.03, 1,518.47 and 723.59 is: 1,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.03 : 1,518.47 = 723.59 : x
  2. Step 2: Convert to fraction form
    1,013.03/1,518.47 = 723.59/x
  3. Step 3: Cross multiply
    1,013.03x = 1,518.47 × 723.59
  4. Step 4: Simplify right side
    1,013.03x = 1,098,749.71
  5. Step 5: Solve for x
    x = 1,098,749.71/1,013.03
  6. Step 6: Final answer
    x = 1,084.62

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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.