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Finding the Fourth Proportional to 749.67, 1,030.83 and 726.60

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Solution

The fourth proportional to 749.67, 1,030.83 and 726.60 is: 999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.67 : 1,030.83 = 726.60 : x
  2. Step 2: Convert to fraction form
    749.67/1,030.83 = 726.60/x
  3. Step 3: Cross multiply
    749.67x = 1,030.83 × 726.60
  4. Step 4: Simplify right side
    749.67x = 749,001.08
  5. Step 5: Solve for x
    x = 749,001.08/749.67
  6. Step 6: Final answer
    x = 999.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.