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Finding the Fourth Proportional to 1,008.70, 1,519.92 and 830.10

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Solution

The fourth proportional to 1,008.70, 1,519.92 and 830.10 is: 1,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.70 : 1,519.92 = 830.10 : x
  2. Step 2: Convert to fraction form
    1,008.70/1,519.92 = 830.10/x
  3. Step 3: Cross multiply
    1,008.70x = 1,519.92 × 830.10
  4. Step 4: Simplify right side
    1,008.70x = 1,261,681.44
  5. Step 5: Solve for x
    x = 1,261,681.44/1,008.70
  6. Step 6: Final answer
    x = 1,250.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.