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Finding the Fourth Proportional to 912.42, 1,258.92 and 563.28

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Solution

The fourth proportional to 912.42, 1,258.92 and 563.28 is: 777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.42 : 1,258.92 = 563.28 : x
  2. Step 2: Convert to fraction form
    912.42/1,258.92 = 563.28/x
  3. Step 3: Cross multiply
    912.42x = 1,258.92 × 563.28
  4. Step 4: Simplify right side
    912.42x = 709,124.46
  5. Step 5: Solve for x
    x = 709,124.46/912.42
  6. Step 6: Final answer
    x = 777.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.