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Finding the Fourth Proportional to 1,028.86, 1,419.78 and 586.70

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Solution

The fourth proportional to 1,028.86, 1,419.78 and 586.70 is: 809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.86 : 1,419.78 = 586.70 : x
  2. Step 2: Convert to fraction form
    1,028.86/1,419.78 = 586.70/x
  3. Step 3: Cross multiply
    1,028.86x = 1,419.78 × 586.70
  4. Step 4: Simplify right side
    1,028.86x = 832,984.93
  5. Step 5: Solve for x
    x = 832,984.93/1,028.86
  6. Step 6: Final answer
    x = 809.62

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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.