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Finding the Fourth Proportional to 910.64, 1,364.64 and 812.96

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Solution

The fourth proportional to 910.64, 1,364.64 and 812.96 is: 1,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.64 : 1,364.64 = 812.96 : x
  2. Step 2: Convert to fraction form
    910.64/1,364.64 = 812.96/x
  3. Step 3: Cross multiply
    910.64x = 1,364.64 × 812.96
  4. Step 4: Simplify right side
    910.64x = 1,109,397.73
  5. Step 5: Solve for x
    x = 1,109,397.73/910.64
  6. Step 6: Final answer
    x = 1,218.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.