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Finding the Fourth Proportional to 879.63, 1,214.46 and 565.04

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Solution

The fourth proportional to 879.63, 1,214.46 and 565.04 is: 780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.63 : 1,214.46 = 565.04 : x
  2. Step 2: Convert to fraction form
    879.63/1,214.46 = 565.04/x
  3. Step 3: Cross multiply
    879.63x = 1,214.46 × 565.04
  4. Step 4: Simplify right side
    879.63x = 686,212.41
  5. Step 5: Solve for x
    x = 686,212.41/879.63
  6. Step 6: Final answer
    x = 780.11

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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.