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Finding the Fourth Proportional to 1,402.65, 1,935.66 and 773.20

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Solution

The fourth proportional to 1,402.65, 1,935.66 and 773.20 is: 1,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.65 : 1,935.66 = 773.20 : x
  2. Step 2: Convert to fraction form
    1,402.65/1,935.66 = 773.20/x
  3. Step 3: Cross multiply
    1,402.65x = 1,935.66 × 773.20
  4. Step 4: Simplify right side
    1,402.65x = 1,496,647.95
  5. Step 5: Solve for x
    x = 1,496,647.95/1,402.65
  6. Step 6: Final answer
    x = 1,067.02

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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.