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Finding the Fourth Proportional to 1,319.84, 1,821.16 and 847.84

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Solution

The fourth proportional to 1,319.84, 1,821.16 and 847.84 is: 1,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.84 : 1,821.16 = 847.84 : x
  2. Step 2: Convert to fraction form
    1,319.84/1,821.16 = 847.84/x
  3. Step 3: Cross multiply
    1,319.84x = 1,821.16 × 847.84
  4. Step 4: Simplify right side
    1,319.84x = 1,544,052.29
  5. Step 5: Solve for x
    x = 1,544,052.29/1,319.84
  6. Step 6: Final answer
    x = 1,169.88

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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.