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Finding the Fourth Proportional to 1,191.98, 1,785.51 and 884.18

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Solution

The fourth proportional to 1,191.98, 1,785.51 and 884.18 is: 1,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.98 : 1,785.51 = 884.18 : x
  2. Step 2: Convert to fraction form
    1,191.98/1,785.51 = 884.18/x
  3. Step 3: Cross multiply
    1,191.98x = 1,785.51 × 884.18
  4. Step 4: Simplify right side
    1,191.98x = 1,578,712.23
  5. Step 5: Solve for x
    x = 1,578,712.23/1,191.98
  6. Step 6: Final answer
    x = 1,324.45

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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.