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Finding the Fourth Proportional to 875.76, 1,312.39 and 413.31

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Solution

The fourth proportional to 875.76, 1,312.39 and 413.31 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.76 : 1,312.39 = 413.31 : x
  2. Step 2: Convert to fraction form
    875.76/1,312.39 = 413.31/x
  3. Step 3: Cross multiply
    875.76x = 1,312.39 × 413.31
  4. Step 4: Simplify right side
    875.76x = 542,419.44
  5. Step 5: Solve for x
    x = 542,419.44/875.76
  6. Step 6: Final answer
    x = 619.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.