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Finding the Fourth Proportional to 933.29, 1,287.80 and 540.24

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Solution

The fourth proportional to 933.29, 1,287.80 and 540.24 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.29 : 1,287.80 = 540.24 : x
  2. Step 2: Convert to fraction form
    933.29/1,287.80 = 540.24/x
  3. Step 3: Cross multiply
    933.29x = 1,287.80 × 540.24
  4. Step 4: Simplify right side
    933.29x = 695,718.37
  5. Step 5: Solve for x
    x = 695,718.37/933.29
  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.