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Finding the Fourth Proportional to 943.96, 1,302.42 and 565.72

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Solution

The fourth proportional to 943.96, 1,302.42 and 565.72 is: 780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.96 : 1,302.42 = 565.72 : x
  2. Step 2: Convert to fraction form
    943.96/1,302.42 = 565.72/x
  3. Step 3: Cross multiply
    943.96x = 1,302.42 × 565.72
  4. Step 4: Simplify right side
    943.96x = 736,805.04
  5. Step 5: Solve for x
    x = 736,805.04/943.96
  6. Step 6: Final answer
    x = 780.55

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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.