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Finding the Fourth Proportional to 1,029.14, 1,420.22 and 587.04

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Solution

The fourth proportional to 1,029.14, 1,420.22 and 587.04 is: 810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.14 : 1,420.22 = 587.04 : x
  2. Step 2: Convert to fraction form
    1,029.14/1,420.22 = 587.04/x
  3. Step 3: Cross multiply
    1,029.14x = 1,420.22 × 587.04
  4. Step 4: Simplify right side
    1,029.14x = 833,723.01
  5. Step 5: Solve for x
    x = 833,723.01/1,029.14
  6. Step 6: Final answer
    x = 810.12

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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.