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Finding the Fourth Proportional to 1,022.58, 1,411.22 and 580.48

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Solution

The fourth proportional to 1,022.58, 1,411.22 and 580.48 is: 801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.58 : 1,411.22 = 580.48 : x
  2. Step 2: Convert to fraction form
    1,022.58/1,411.22 = 580.48/x
  3. Step 3: Cross multiply
    1,022.58x = 1,411.22 × 580.48
  4. Step 4: Simplify right side
    1,022.58x = 819,184.99
  5. Step 5: Solve for x
    x = 819,184.99/1,022.58
  6. Step 6: Final answer
    x = 801.10

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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.