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Finding the Fourth Proportional to 1,165.24, 1,608.96 and 902.80

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Solution

The fourth proportional to 1,165.24, 1,608.96 and 902.80 is: 1,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.24 : 1,608.96 = 902.80 : x
  2. Step 2: Convert to fraction form
    1,165.24/1,608.96 = 902.80/x
  3. Step 3: Cross multiply
    1,165.24x = 1,608.96 × 902.80
  4. Step 4: Simplify right side
    1,165.24x = 1,452,569.09
  5. Step 5: Solve for x
    x = 1,452,569.09/1,165.24
  6. Step 6: Final answer
    x = 1,246.58

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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.