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Finding the Fourth Proportional to 1,029.68, 1,420.98 and 587.56

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Solution

The fourth proportional to 1,029.68, 1,420.98 and 587.56 is: 810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.68 : 1,420.98 = 587.56 : x
  2. Step 2: Convert to fraction form
    1,029.68/1,420.98 = 587.56/x
  3. Step 3: Cross multiply
    1,029.68x = 1,420.98 × 587.56
  4. Step 4: Simplify right side
    1,029.68x = 834,911.01
  5. Step 5: Solve for x
    x = 834,911.01/1,029.68
  6. Step 6: Final answer
    x = 810.85

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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.