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Finding the Fourth Proportional to 1,314.10, 1,969 and 663.46

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Solution

The fourth proportional to 1,314.10, 1,969 and 663.46 is: 994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.10 : 1,969 = 663.46 : x
  2. Step 2: Convert to fraction form
    1,314.10/1,969 = 663.46/x
  3. Step 3: Cross multiply
    1,314.10x = 1,969 × 663.46
  4. Step 4: Simplify right side
    1,314.10x = 1,306,352.74
  5. Step 5: Solve for x
    x = 1,306,352.74/1,314.10
  6. Step 6: Final answer
    x = 994.10

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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.