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Finding the Fourth Proportional to 1,319.96, 1,822.80 and 878.16

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Solution

The fourth proportional to 1,319.96, 1,822.80 and 878.16 is: 1,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.96 : 1,822.80 = 878.16 : x
  2. Step 2: Convert to fraction form
    1,319.96/1,822.80 = 878.16/x
  3. Step 3: Cross multiply
    1,319.96x = 1,822.80 × 878.16
  4. Step 4: Simplify right side
    1,319.96x = 1,600,709.92
  5. Step 5: Solve for x
    x = 1,600,709.92/1,319.96
  6. Step 6: Final answer
    x = 1,212.69

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1.5x scale

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.