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Finding the Fourth Proportional to 880.48, 1,214.53 and 565.64

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Solution

The fourth proportional to 880.48, 1,214.53 and 565.64 is: 780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.48 : 1,214.53 = 565.64 : x
  2. Step 2: Convert to fraction form
    880.48/1,214.53 = 565.64/x
  3. Step 3: Cross multiply
    880.48x = 1,214.53 × 565.64
  4. Step 4: Simplify right side
    880.48x = 686,979.26
  5. Step 5: Solve for x
    x = 686,979.26/880.48
  6. Step 6: Final answer
    x = 780.23

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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.