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Finding the Fourth Proportional to 1,082.60, 1,615.99 and 953

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Solution

The fourth proportional to 1,082.60, 1,615.99 and 953 is: 1,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.60 : 1,615.99 = 953 : x
  2. Step 2: Convert to fraction form
    1,082.60/1,615.99 = 953/x
  3. Step 3: Cross multiply
    1,082.60x = 1,615.99 × 953
  4. Step 4: Simplify right side
    1,082.60x = 1,540,038.47
  5. Step 5: Solve for x
    x = 1,540,038.47/1,082.60
  6. Step 6: Final answer
    x = 1,422.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.