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Finding the Fourth Proportional to 880.59, 1,215.61 and 561.70

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Solution

The fourth proportional to 880.59, 1,215.61 and 561.70 is: 775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.59 : 1,215.61 = 561.70 : x
  2. Step 2: Convert to fraction form
    880.59/1,215.61 = 561.70/x
  3. Step 3: Cross multiply
    880.59x = 1,215.61 × 561.70
  4. Step 4: Simplify right side
    880.59x = 682,799.25
  5. Step 5: Solve for x
    x = 682,799.25/880.59
  6. Step 6: Final answer
    x = 775.39

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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.