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Finding the Fourth Proportional to 933.12, 1,287.76 and 540.24

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Solution

The fourth proportional to 933.12, 1,287.76 and 540.24 is: 745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.12 : 1,287.76 = 540.24 : x
  2. Step 2: Convert to fraction form
    933.12/1,287.76 = 540.24/x
  3. Step 3: Cross multiply
    933.12x = 1,287.76 × 540.24
  4. Step 4: Simplify right side
    933.12x = 695,699.46
  5. Step 5: Solve for x
    x = 695,699.46/933.12
  6. Step 6: Final answer
    x = 745.56

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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.