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Finding the Fourth Proportional to 1,035.82, 1,560.74 and 857.22

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Solution

The fourth proportional to 1,035.82, 1,560.74 and 857.22 is: 1,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.82 : 1,560.74 = 857.22 : x
  2. Step 2: Convert to fraction form
    1,035.82/1,560.74 = 857.22/x
  3. Step 3: Cross multiply
    1,035.82x = 1,560.74 × 857.22
  4. Step 4: Simplify right side
    1,035.82x = 1,337,897.54
  5. Step 5: Solve for x
    x = 1,337,897.54/1,035.82
  6. Step 6: Final answer
    x = 1,291.63

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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.