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Finding the Fourth Proportional to 746.73, 1,030.25 and 580.65

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Solution

The fourth proportional to 746.73, 1,030.25 and 580.65 is: 801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.73 : 1,030.25 = 580.65 : x
  2. Step 2: Convert to fraction form
    746.73/1,030.25 = 580.65/x
  3. Step 3: Cross multiply
    746.73x = 1,030.25 × 580.65
  4. Step 4: Simplify right side
    746.73x = 598,211.76
  5. Step 5: Solve for x
    x = 598,211.76/746.73
  6. Step 6: Final answer
    x = 801.11

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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.