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Finding the Fourth Proportional to 1,528.92, 2,110.05 and 865.80

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Solution

The fourth proportional to 1,528.92, 2,110.05 and 865.80 is: 1,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.92 : 2,110.05 = 865.80 : x
  2. Step 2: Convert to fraction form
    1,528.92/2,110.05 = 865.80/x
  3. Step 3: Cross multiply
    1,528.92x = 2,110.05 × 865.80
  4. Step 4: Simplify right side
    1,528.92x = 1,826,881.29
  5. Step 5: Solve for x
    x = 1,826,881.29/1,528.92
  6. Step 6: Final answer
    x = 1,194.88

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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.