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Finding the Fourth Proportional to 1,028.51, 1,419.28 and 586.45

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Solution

The fourth proportional to 1,028.51, 1,419.28 and 586.45 is: 809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.51 : 1,419.28 = 586.45 : x
  2. Step 2: Convert to fraction form
    1,028.51/1,419.28 = 586.45/x
  3. Step 3: Cross multiply
    1,028.51x = 1,419.28 × 586.45
  4. Step 4: Simplify right side
    1,028.51x = 832,331.74
  5. Step 5: Solve for x
    x = 832,331.74/1,028.51
  6. Step 6: Final answer
    x = 809.26

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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.