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Finding the Fourth Proportional to 933.04, 1,287.57 and 560.23

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Solution

The fourth proportional to 933.04, 1,287.57 and 560.23 is: 773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.04 : 1,287.57 = 560.23 : x
  2. Step 2: Convert to fraction form
    933.04/1,287.57 = 560.23/x
  3. Step 3: Cross multiply
    933.04x = 1,287.57 × 560.23
  4. Step 4: Simplify right side
    933.04x = 721,335.34
  5. Step 5: Solve for x
    x = 721,335.34/933.04
  6. Step 6: Final answer
    x = 773.10

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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.