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Finding the Fourth Proportional to 914.96, 1,262.37 and 565.64

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Solution

The fourth proportional to 914.96, 1,262.37 and 565.64 is: 780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.96 : 1,262.37 = 565.64 : x
  2. Step 2: Convert to fraction form
    914.96/1,262.37 = 565.64/x
  3. Step 3: Cross multiply
    914.96x = 1,262.37 × 565.64
  4. Step 4: Simplify right side
    914.96x = 714,046.97
  5. Step 5: Solve for x
    x = 714,046.97/914.96
  6. Step 6: Final answer
    x = 780.41

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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.