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Finding the Fourth Proportional to 1,315.32, 1,971.10 and 965.92

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Solution

The fourth proportional to 1,315.32, 1,971.10 and 965.92 is: 1,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.32 : 1,971.10 = 965.92 : x
  2. Step 2: Convert to fraction form
    1,315.32/1,971.10 = 965.92/x
  3. Step 3: Cross multiply
    1,315.32x = 1,971.10 × 965.92
  4. Step 4: Simplify right side
    1,315.32x = 1,903,917.47
  5. Step 5: Solve for x
    x = 1,903,917.47/1,315.32
  6. Step 6: Final answer
    x = 1,447.49

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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.