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Finding the Fourth Proportional to 1,029.22, 1,420.39 and 587.22

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Solution

The fourth proportional to 1,029.22, 1,420.39 and 587.22 is: 810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.22 : 1,420.39 = 587.22 : x
  2. Step 2: Convert to fraction form
    1,029.22/1,420.39 = 587.22/x
  3. Step 3: Cross multiply
    1,029.22x = 1,420.39 × 587.22
  4. Step 4: Simplify right side
    1,029.22x = 834,073.52
  5. Step 5: Solve for x
    x = 834,073.52/1,029.22
  6. Step 6: Final answer
    x = 810.39

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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.