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Finding the Fourth Proportional to 1,312.52, 1,966.86 and 662.36

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Solution

The fourth proportional to 1,312.52, 1,966.86 and 662.36 is: 992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.52 : 1,966.86 = 662.36 : x
  2. Step 2: Convert to fraction form
    1,312.52/1,966.86 = 662.36/x
  3. Step 3: Cross multiply
    1,312.52x = 1,966.86 × 662.36
  4. Step 4: Simplify right side
    1,312.52x = 1,302,759.56
  5. Step 5: Solve for x
    x = 1,302,759.56/1,312.52
  6. Step 6: Final answer
    x = 992.57

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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.