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Finding the Fourth Proportional to 763.13, 1,053.12 and 413.82

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Solution

The fourth proportional to 763.13, 1,053.12 and 413.82 is: 571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.13 : 1,053.12 = 413.82 : x
  2. Step 2: Convert to fraction form
    763.13/1,053.12 = 413.82/x
  3. Step 3: Cross multiply
    763.13x = 1,053.12 × 413.82
  4. Step 4: Simplify right side
    763.13x = 435,802.12
  5. Step 5: Solve for x
    x = 435,802.12/763.13
  6. Step 6: Final answer
    x = 571.08

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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.