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Finding the Fourth Proportional to 914.74, 1,262.92 and 565.63

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Solution

The fourth proportional to 914.74, 1,262.92 and 565.63 is: 780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.74 : 1,262.92 = 565.63 : x
  2. Step 2: Convert to fraction form
    914.74/1,262.92 = 565.63/x
  3. Step 3: Cross multiply
    914.74x = 1,262.92 × 565.63
  4. Step 4: Simplify right side
    914.74x = 714,345.44
  5. Step 5: Solve for x
    x = 714,345.44/914.74
  6. Step 6: Final answer
    x = 780.93

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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.