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Finding the Fourth Proportional to 880.81, 1,215.37 and 565.98

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Solution

The fourth proportional to 880.81, 1,215.37 and 565.98 is: 780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.81 : 1,215.37 = 565.98 : x
  2. Step 2: Convert to fraction form
    880.81/1,215.37 = 565.98/x
  3. Step 3: Cross multiply
    880.81x = 1,215.37 × 565.98
  4. Step 4: Simplify right side
    880.81x = 687,866.21
  5. Step 5: Solve for x
    x = 687,866.21/880.81
  6. Step 6: Final answer
    x = 780.95

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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.