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Finding the Fourth Proportional to 1,523.40, 2,102.25 and 860.24

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Solution

The fourth proportional to 1,523.40, 2,102.25 and 860.24 is: 1,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.40 : 2,102.25 = 860.24 : x
  2. Step 2: Convert to fraction form
    1,523.40/2,102.25 = 860.24/x
  3. Step 3: Cross multiply
    1,523.40x = 2,102.25 × 860.24
  4. Step 4: Simplify right side
    1,523.40x = 1,808,439.54
  5. Step 5: Solve for x
    x = 1,808,439.54/1,523.40
  6. Step 6: Final answer
    x = 1,187.11

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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.