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Finding the Fourth Proportional to 879.66, 1,214.01 and 565.14

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Solution

The fourth proportional to 879.66, 1,214.01 and 565.14 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.66 : 1,214.01 = 565.14 : x
  2. Step 2: Convert to fraction form
    879.66/1,214.01 = 565.14/x
  3. Step 3: Cross multiply
    879.66x = 1,214.01 × 565.14
  4. Step 4: Simplify right side
    879.66x = 686,085.61
  5. Step 5: Solve for x
    x = 686,085.61/879.66
  6. Step 6: Final answer
    x = 779.94

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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.