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Finding the Fourth Proportional to 1,023.12, 1,411.91 and 581.03

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Solution

The fourth proportional to 1,023.12, 1,411.91 and 581.03 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.12 : 1,411.91 = 581.03 : x
  2. Step 2: Convert to fraction form
    1,023.12/1,411.91 = 581.03/x
  3. Step 3: Cross multiply
    1,023.12x = 1,411.91 × 581.03
  4. Step 4: Simplify right side
    1,023.12x = 820,362.07
  5. Step 5: Solve for x
    x = 820,362.07/1,023.12
  6. Step 6: Final answer
    x = 801.82

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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.