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Finding the Fourth Proportional to 933.25, 1,287.62 and 540.13

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Solution

The fourth proportional to 933.25, 1,287.62 and 540.13 is: 745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.25 : 1,287.62 = 540.13 : x
  2. Step 2: Convert to fraction form
    933.25/1,287.62 = 540.13/x
  3. Step 3: Cross multiply
    933.25x = 1,287.62 × 540.13
  4. Step 4: Simplify right side
    933.25x = 695,479.49
  5. Step 5: Solve for x
    x = 695,479.49/933.25
  6. Step 6: Final answer
    x = 745.22

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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.