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Finding the Fourth Proportional to 1,028.66, 1,419.54 and 586.58

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Solution

The fourth proportional to 1,028.66, 1,419.54 and 586.58 is: 809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.66 : 1,419.54 = 586.58 : x
  2. Step 2: Convert to fraction form
    1,028.66/1,419.54 = 586.58/x
  3. Step 3: Cross multiply
    1,028.66x = 1,419.54 × 586.58
  4. Step 4: Simplify right side
    1,028.66x = 832,666.68
  5. Step 5: Solve for x
    x = 832,666.68/1,028.66
  6. Step 6: Final answer
    x = 809.47

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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.