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Finding the Fourth Proportional to 933.23, 1,287.90 and 560.22

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Solution

The fourth proportional to 933.23, 1,287.90 and 560.22 is: 773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.23 : 1,287.90 = 560.22 : x
  2. Step 2: Convert to fraction form
    933.23/1,287.90 = 560.22/x
  3. Step 3: Cross multiply
    933.23x = 1,287.90 × 560.22
  4. Step 4: Simplify right side
    933.23x = 721,507.34
  5. Step 5: Solve for x
    x = 721,507.34/933.23
  6. Step 6: Final answer
    x = 773.13

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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.