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Finding the Fourth Proportional to 1,257.05, 1,884.84 and 841.05

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Solution

The fourth proportional to 1,257.05, 1,884.84 and 841.05 is: 1,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.05 : 1,884.84 = 841.05 : x
  2. Step 2: Convert to fraction form
    1,257.05/1,884.84 = 841.05/x
  3. Step 3: Cross multiply
    1,257.05x = 1,884.84 × 841.05
  4. Step 4: Simplify right side
    1,257.05x = 1,585,244.68
  5. Step 5: Solve for x
    x = 1,585,244.68/1,257.05
  6. Step 6: Final answer
    x = 1,261.08

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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.