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Finding the Fourth Proportional to 1,028.51, 1,419.51 and 586.55

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Solution

The fourth proportional to 1,028.51, 1,419.51 and 586.55 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.51 : 1,419.51 = 586.55 : x
  2. Step 2: Convert to fraction form
    1,028.51/1,419.51 = 586.55/x
  3. Step 3: Cross multiply
    1,028.51x = 1,419.51 × 586.55
  4. Step 4: Simplify right side
    1,028.51x = 832,613.59
  5. Step 5: Solve for x
    x = 832,613.59/1,028.51
  6. Step 6: Final answer
    x = 809.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.