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Finding the Fourth Proportional to 913.26, 1,260.34 and 564.16

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Solution

The fourth proportional to 913.26, 1,260.34 and 564.16 is: 778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,260.34 = 564.16 : x
  2. Step 2: Convert to fraction form
    913.26/1,260.34 = 564.16/x
  3. Step 3: Cross multiply
    913.26x = 1,260.34 × 564.16
  4. Step 4: Simplify right side
    913.26x = 711,033.41
  5. Step 5: Solve for x
    x = 711,033.41/913.26
  6. Step 6: Final answer
    x = 778.57

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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.