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Finding the Fourth Proportional to 1,029.44, 1,420.61 and 587.34

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Solution

The fourth proportional to 1,029.44, 1,420.61 and 587.34 is: 810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.44 : 1,420.61 = 587.34 : x
  2. Step 2: Convert to fraction form
    1,029.44/1,420.61 = 587.34/x
  3. Step 3: Cross multiply
    1,029.44x = 1,420.61 × 587.34
  4. Step 4: Simplify right side
    1,029.44x = 834,378.14
  5. Step 5: Solve for x
    x = 834,378.14/1,029.44
  6. Step 6: Final answer
    x = 810.52

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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.