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Finding the Fourth Proportional to 933.86, 1,288.14 and 560.59

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Solution

The fourth proportional to 933.86, 1,288.14 and 560.59 is: 773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.86 : 1,288.14 = 560.59 : x
  2. Step 2: Convert to fraction form
    933.86/1,288.14 = 560.59/x
  3. Step 3: Cross multiply
    933.86x = 1,288.14 × 560.59
  4. Step 4: Simplify right side
    933.86x = 722,118.40
  5. Step 5: Solve for x
    x = 722,118.40/933.86
  6. Step 6: Final answer
    x = 773.26

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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.