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Finding the Fourth Proportional to 1,312.79, 1,964.46 and 965.25

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Solution

The fourth proportional to 1,312.79, 1,964.46 and 965.25 is: 1,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.79 : 1,964.46 = 965.25 : x
  2. Step 2: Convert to fraction form
    1,312.79/1,964.46 = 965.25/x
  3. Step 3: Cross multiply
    1,312.79x = 1,964.46 × 965.25
  4. Step 4: Simplify right side
    1,312.79x = 1,896,195.02
  5. Step 5: Solve for x
    x = 1,896,195.02/1,312.79
  6. Step 6: Final answer
    x = 1,444.41

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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.