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Finding the Fourth Proportional to 728.55, 1,005.30 and 413.76

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Solution

The fourth proportional to 728.55, 1,005.30 and 413.76 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.55 : 1,005.30 = 413.76 : x
  2. Step 2: Convert to fraction form
    728.55/1,005.30 = 413.76/x
  3. Step 3: Cross multiply
    728.55x = 1,005.30 × 413.76
  4. Step 4: Simplify right side
    728.55x = 415,952.93
  5. Step 5: Solve for x
    x = 415,952.93/728.55
  6. Step 6: Final answer
    x = 570.93

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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.