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Finding the Fourth Proportional to 912.01, 1,259.13 and 563.17

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Solution

The fourth proportional to 912.01, 1,259.13 and 563.17 is: 777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.01 : 1,259.13 = 563.17 : x
  2. Step 2: Convert to fraction form
    912.01/1,259.13 = 563.17/x
  3. Step 3: Cross multiply
    912.01x = 1,259.13 × 563.17
  4. Step 4: Simplify right side
    912.01x = 709,104.24
  5. Step 5: Solve for x
    x = 709,104.24/912.01
  6. Step 6: Final answer
    x = 777.52

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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.