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Finding the Fourth Proportional to 728.51, 1,005.47 and 413.79

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Solution

The fourth proportional to 728.51, 1,005.47 and 413.79 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.51 : 1,005.47 = 413.79 : x
  2. Step 2: Convert to fraction form
    728.51/1,005.47 = 413.79/x
  3. Step 3: Cross multiply
    728.51x = 1,005.47 × 413.79
  4. Step 4: Simplify right side
    728.51x = 416,051.36
  5. Step 5: Solve for x
    x = 416,051.36/728.51
  6. Step 6: Final answer
    x = 571.10

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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.