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Finding the Fourth Proportional to 933.13, 1,287.30 and 540.06

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Solution

The fourth proportional to 933.13, 1,287.30 and 540.06 is: 745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.13 : 1,287.30 = 540.06 : x
  2. Step 2: Convert to fraction form
    933.13/1,287.30 = 540.06/x
  3. Step 3: Cross multiply
    933.13x = 1,287.30 × 540.06
  4. Step 4: Simplify right side
    933.13x = 695,219.24
  5. Step 5: Solve for x
    x = 695,219.24/933.13
  6. Step 6: Final answer
    x = 745.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.