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Finding the Fourth Proportional to 880.10, 1,214.01 and 565.26

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Solution

The fourth proportional to 880.10, 1,214.01 and 565.26 is: 779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.10 : 1,214.01 = 565.26 : x
  2. Step 2: Convert to fraction form
    880.10/1,214.01 = 565.26/x
  3. Step 3: Cross multiply
    880.10x = 1,214.01 × 565.26
  4. Step 4: Simplify right side
    880.10x = 686,231.29
  5. Step 5: Solve for x
    x = 686,231.29/880.10
  6. Step 6: Final answer
    x = 779.72

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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.