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Finding the Fourth Proportional to 1,523.79, 2,103.03 and 860.85

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Solution

The fourth proportional to 1,523.79, 2,103.03 and 860.85 is: 1,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.79 : 2,103.03 = 860.85 : x
  2. Step 2: Convert to fraction form
    1,523.79/2,103.03 = 860.85/x
  3. Step 3: Cross multiply
    1,523.79x = 2,103.03 × 860.85
  4. Step 4: Simplify right side
    1,523.79x = 1,810,393.38
  5. Step 5: Solve for x
    x = 1,810,393.38/1,523.79
  6. Step 6: Final answer
    x = 1,188.09

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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.