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Finding the Fourth Proportional to 880.25, 1,214.75 and 565.63

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Solution

The fourth proportional to 880.25, 1,214.75 and 565.63 is: 780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.25 : 1,214.75 = 565.63 : x
  2. Step 2: Convert to fraction form
    880.25/1,214.75 = 565.63/x
  3. Step 3: Cross multiply
    880.25x = 1,214.75 × 565.63
  4. Step 4: Simplify right side
    880.25x = 687,097.42
  5. Step 5: Solve for x
    x = 687,097.42/880.25
  6. Step 6: Final answer
    x = 780.58

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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.