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Finding the Fourth Proportional to 1,312.57, 1,967.43 and 663.35

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Solution

The fourth proportional to 1,312.57, 1,967.43 and 663.35 is: 994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.57 : 1,967.43 = 663.35 : x
  2. Step 2: Convert to fraction form
    1,312.57/1,967.43 = 663.35/x
  3. Step 3: Cross multiply
    1,312.57x = 1,967.43 × 663.35
  4. Step 4: Simplify right side
    1,312.57x = 1,305,094.69
  5. Step 5: Solve for x
    x = 1,305,094.69/1,312.57
  6. Step 6: Final answer
    x = 994.30

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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.