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Finding the Fourth Proportional to 913.24, 1,259.76 and 563.68

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Solution

The fourth proportional to 913.24, 1,259.76 and 563.68 is: 777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.24 : 1,259.76 = 563.68 : x
  2. Step 2: Convert to fraction form
    913.24/1,259.76 = 563.68/x
  3. Step 3: Cross multiply
    913.24x = 1,259.76 × 563.68
  4. Step 4: Simplify right side
    913.24x = 710,101.52
  5. Step 5: Solve for x
    x = 710,101.52/913.24
  6. Step 6: Final answer
    x = 777.56

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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.