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Finding the Fourth Proportional to 749.67, 1,034.54 and 413.57

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Solution

The fourth proportional to 749.67, 1,034.54 and 413.57 is: 570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.67 : 1,034.54 = 413.57 : x
  2. Step 2: Convert to fraction form
    749.67/1,034.54 = 413.57/x
  3. Step 3: Cross multiply
    749.67x = 1,034.54 × 413.57
  4. Step 4: Simplify right side
    749.67x = 427,854.71
  5. Step 5: Solve for x
    x = 427,854.71/749.67
  6. Step 6: Final answer
    x = 570.72

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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.