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Finding the Fourth Proportional to 1,314.52, 1,973 and 665.72

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Solution

The fourth proportional to 1,314.52, 1,973 and 665.72 is: 999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.52 : 1,973 = 665.72 : x
  2. Step 2: Convert to fraction form
    1,314.52/1,973 = 665.72/x
  3. Step 3: Cross multiply
    1,314.52x = 1,973 × 665.72
  4. Step 4: Simplify right side
    1,314.52x = 1,313,465.56
  5. Step 5: Solve for x
    x = 1,313,465.56/1,314.52
  6. Step 6: Final answer
    x = 999.20

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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.