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Finding the Fourth Proportional to 879.84, 1,214.46 and 565.38

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Solution

The fourth proportional to 879.84, 1,214.46 and 565.38 is: 780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.84 : 1,214.46 = 565.38 : x
  2. Step 2: Convert to fraction form
    879.84/1,214.46 = 565.38/x
  3. Step 3: Cross multiply
    879.84x = 1,214.46 × 565.38
  4. Step 4: Simplify right side
    879.84x = 686,631.39
  5. Step 5: Solve for x
    x = 686,631.39/879.84
  6. Step 6: Final answer
    x = 780.40

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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.