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Finding the Fourth Proportional to 1,315.42, 1,972.92 and 856.46

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Solution

The fourth proportional to 1,315.42, 1,972.92 and 856.46 is: 1,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.42 : 1,972.92 = 856.46 : x
  2. Step 2: Convert to fraction form
    1,315.42/1,972.92 = 856.46/x
  3. Step 3: Cross multiply
    1,315.42x = 1,972.92 × 856.46
  4. Step 4: Simplify right side
    1,315.42x = 1,689,727.06
  5. Step 5: Solve for x
    x = 1,689,727.06/1,315.42
  6. Step 6: Final answer
    x = 1,284.55

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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.