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Finding the Fourth Proportional to 1,028.13, 1,419.02 and 586

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Solution

The fourth proportional to 1,028.13, 1,419.02 and 586 is: 808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.13 : 1,419.02 = 586 : x
  2. Step 2: Convert to fraction form
    1,028.13/1,419.02 = 586/x
  3. Step 3: Cross multiply
    1,028.13x = 1,419.02 × 586
  4. Step 4: Simplify right side
    1,028.13x = 831,545.72
  5. Step 5: Solve for x
    x = 831,545.72/1,028.13
  6. Step 6: Final answer
    x = 808.79

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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.