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Finding the Fourth Proportional to 1,312.40, 1,809.96 and 963.92

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Solution

The fourth proportional to 1,312.40, 1,809.96 and 963.92 is: 1,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.40 : 1,809.96 = 963.92 : x
  2. Step 2: Convert to fraction form
    1,312.40/1,809.96 = 963.92/x
  3. Step 3: Cross multiply
    1,312.40x = 1,809.96 × 963.92
  4. Step 4: Simplify right side
    1,312.40x = 1,744,656.64
  5. Step 5: Solve for x
    x = 1,744,656.64/1,312.40
  6. Step 6: Final answer
    x = 1,329.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.