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Finding the Fourth Proportional to 879.80, 1,214.67 and 565.19

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Solution

The fourth proportional to 879.80, 1,214.67 and 565.19 is: 780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.80 : 1,214.67 = 565.19 : x
  2. Step 2: Convert to fraction form
    879.80/1,214.67 = 565.19/x
  3. Step 3: Cross multiply
    879.80x = 1,214.67 × 565.19
  4. Step 4: Simplify right side
    879.80x = 686,513.26
  5. Step 5: Solve for x
    x = 686,513.26/879.80
  6. Step 6: Final answer
    x = 780.31

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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.