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Finding the Fourth Proportional to 912.54, 1,259.34 and 539.61

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Solution

The fourth proportional to 912.54, 1,259.34 and 539.61 is: 744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.54 : 1,259.34 = 539.61 : x
  2. Step 2: Convert to fraction form
    912.54/1,259.34 = 539.61/x
  3. Step 3: Cross multiply
    912.54x = 1,259.34 × 539.61
  4. Step 4: Simplify right side
    912.54x = 679,552.46
  5. Step 5: Solve for x
    x = 679,552.46/912.54
  6. Step 6: Final answer
    x = 744.68

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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.