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Finding the Fourth Proportional to 912.88, 1,260.24 and 539.98

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Solution

The fourth proportional to 912.88, 1,260.24 and 539.98 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.88 : 1,260.24 = 539.98 : x
  2. Step 2: Convert to fraction form
    912.88/1,260.24 = 539.98/x
  3. Step 3: Cross multiply
    912.88x = 1,260.24 × 539.98
  4. Step 4: Simplify right side
    912.88x = 680,504.40
  5. Step 5: Solve for x
    x = 680,504.40/912.88
  6. Step 6: Final answer
    x = 745.45

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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.