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Finding the Fourth Proportional to 933.07, 1,287.58 and 540.22

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Solution

The fourth proportional to 933.07, 1,287.58 and 540.22 is: 745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.07 : 1,287.58 = 540.22 : x
  2. Step 2: Convert to fraction form
    933.07/1,287.58 = 540.22/x
  3. Step 3: Cross multiply
    933.07x = 1,287.58 × 540.22
  4. Step 4: Simplify right side
    933.07x = 695,576.47
  5. Step 5: Solve for x
    x = 695,576.47/933.07
  6. Step 6: Final answer
    x = 745.47

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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.