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Finding the Fourth Proportional to 933.04, 1,287.20 and 560.02

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Solution

The fourth proportional to 933.04, 1,287.20 and 560.02 is: 772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.04 : 1,287.20 = 560.02 : x
  2. Step 2: Convert to fraction form
    933.04/1,287.20 = 560.02/x
  3. Step 3: Cross multiply
    933.04x = 1,287.20 × 560.02
  4. Step 4: Simplify right side
    933.04x = 720,857.74
  5. Step 5: Solve for x
    x = 720,857.74/933.04
  6. Step 6: Final answer
    x = 772.59

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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.