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Finding the Fourth Proportional to 913.55, 1,260.69 and 564.17

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Solution

The fourth proportional to 913.55, 1,260.69 and 564.17 is: 778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.55 : 1,260.69 = 564.17 : x
  2. Step 2: Convert to fraction form
    913.55/1,260.69 = 564.17/x
  3. Step 3: Cross multiply
    913.55x = 1,260.69 × 564.17
  4. Step 4: Simplify right side
    913.55x = 711,243.48
  5. Step 5: Solve for x
    x = 711,243.48/913.55
  6. Step 6: Final answer
    x = 778.55

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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.