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Finding the Fourth Proportional to 910.31, 1,364.09 and 678.11

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Solution

The fourth proportional to 910.31, 1,364.09 and 678.11 is: 1,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.31 : 1,364.09 = 678.11 : x
  2. Step 2: Convert to fraction form
    910.31/1,364.09 = 678.11/x
  3. Step 3: Cross multiply
    910.31x = 1,364.09 × 678.11
  4. Step 4: Simplify right side
    910.31x = 924,996.25
  5. Step 5: Solve for x
    x = 924,996.25/910.31
  6. Step 6: Final answer
    x = 1,016.14

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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.