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Finding the Fourth Proportional to 1,070.05, 1,605.44 and 515.20

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Solution

The fourth proportional to 1,070.05, 1,605.44 and 515.20 is: 772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.05 : 1,605.44 = 515.20 : x
  2. Step 2: Convert to fraction form
    1,070.05/1,605.44 = 515.20/x
  3. Step 3: Cross multiply
    1,070.05x = 1,605.44 × 515.20
  4. Step 4: Simplify right side
    1,070.05x = 827,122.69
  5. Step 5: Solve for x
    x = 827,122.69/1,070.05
  6. Step 6: Final answer
    x = 772.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.