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Finding the Fourth Proportional to 763.10, 1,053.08 and 413.79

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Solution

The fourth proportional to 763.10, 1,053.08 and 413.79 is: 571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.10 : 1,053.08 = 413.79 : x
  2. Step 2: Convert to fraction form
    763.10/1,053.08 = 413.79/x
  3. Step 3: Cross multiply
    763.10x = 1,053.08 × 413.79
  4. Step 4: Simplify right side
    763.10x = 435,746.64
  5. Step 5: Solve for x
    x = 435,746.64/763.10
  6. Step 6: Final answer
    x = 571.02

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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.