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Finding the Fourth Proportional to 1,315.35, 1,972.98 and 885.24

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Solution

The fourth proportional to 1,315.35, 1,972.98 and 885.24 is: 1,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.35 : 1,972.98 = 885.24 : x
  2. Step 2: Convert to fraction form
    1,315.35/1,972.98 = 885.24/x
  3. Step 3: Cross multiply
    1,315.35x = 1,972.98 × 885.24
  4. Step 4: Simplify right side
    1,315.35x = 1,746,560.82
  5. Step 5: Solve for x
    x = 1,746,560.82/1,315.35
  6. Step 6: Final answer
    x = 1,327.83

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1.5x scale

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.