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Finding the Fourth Proportional to 912.87, 1,260.23 and 563.76

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Solution

The fourth proportional to 912.87, 1,260.23 and 563.76 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.87 : 1,260.23 = 563.76 : x
  2. Step 2: Convert to fraction form
    912.87/1,260.23 = 563.76/x
  3. Step 3: Cross multiply
    912.87x = 1,260.23 × 563.76
  4. Step 4: Simplify right side
    912.87x = 710,464.45
  5. Step 5: Solve for x
    x = 710,464.45/912.87
  6. Step 6: Final answer
    x = 778.28

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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.