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Finding the Fourth Proportional to 1,235.47, 1,854.12 and 994.90

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Solution

The fourth proportional to 1,235.47, 1,854.12 and 994.90 is: 1,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.47 : 1,854.12 = 994.90 : x
  2. Step 2: Convert to fraction form
    1,235.47/1,854.12 = 994.90/x
  3. Step 3: Cross multiply
    1,235.47x = 1,854.12 × 994.90
  4. Step 4: Simplify right side
    1,235.47x = 1,844,663.99
  5. Step 5: Solve for x
    x = 1,844,663.99/1,235.47
  6. Step 6: Final answer
    x = 1,493.09

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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.