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Finding the Fourth Proportional to 862.65, 1,189.89 and 513

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Solution

The fourth proportional to 862.65, 1,189.89 and 513 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.65 : 1,189.89 = 513 : x
  2. Step 2: Convert to fraction form
    862.65/1,189.89 = 513/x
  3. Step 3: Cross multiply
    862.65x = 1,189.89 × 513
  4. Step 4: Simplify right side
    862.65x = 610,413.57
  5. Step 5: Solve for x
    x = 610,413.57/862.65
  6. Step 6: Final answer
    x = 707.60

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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.