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Finding the Fourth Proportional to 1,022.58, 1,411.14 and 580.44

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Solution

The fourth proportional to 1,022.58, 1,411.14 and 580.44 is: 801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.58 : 1,411.14 = 580.44 : x
  2. Step 2: Convert to fraction form
    1,022.58/1,411.14 = 580.44/x
  3. Step 3: Cross multiply
    1,022.58x = 1,411.14 × 580.44
  4. Step 4: Simplify right side
    1,022.58x = 819,082.10
  5. Step 5: Solve for x
    x = 819,082.10/1,022.58
  6. Step 6: Final answer
    x = 801.00

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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.