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Finding the Fourth Proportional to 1,028.69, 1,419.71 and 586.66

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Solution

The fourth proportional to 1,028.69, 1,419.71 and 586.66 is: 809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.69 : 1,419.71 = 586.66 : x
  2. Step 2: Convert to fraction form
    1,028.69/1,419.71 = 586.66/x
  3. Step 3: Cross multiply
    1,028.69x = 1,419.71 × 586.66
  4. Step 4: Simplify right side
    1,028.69x = 832,884.99
  5. Step 5: Solve for x
    x = 832,884.99/1,028.69
  6. Step 6: Final answer
    x = 809.65

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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.