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Finding the Fourth Proportional to 1,028.63, 1,419.71 and 586.50

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Solution

The fourth proportional to 1,028.63, 1,419.71 and 586.50 is: 809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.63 : 1,419.71 = 586.50 : x
  2. Step 2: Convert to fraction form
    1,028.63/1,419.71 = 586.50/x
  3. Step 3: Cross multiply
    1,028.63x = 1,419.71 × 586.50
  4. Step 4: Simplify right side
    1,028.63x = 832,656.98
  5. Step 5: Solve for x
    x = 832,656.98/1,028.63
  6. Step 6: Final answer
    x = 809.49

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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.