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Finding the Fourth Proportional to 1,023.18, 1,411.74 and 581

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Solution

The fourth proportional to 1,023.18, 1,411.74 and 581 is: 801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.18 : 1,411.74 = 581 : x
  2. Step 2: Convert to fraction form
    1,023.18/1,411.74 = 581/x
  3. Step 3: Cross multiply
    1,023.18x = 1,411.74 × 581
  4. Step 4: Simplify right side
    1,023.18x = 820,220.94
  5. Step 5: Solve for x
    x = 820,220.94/1,023.18
  6. Step 6: Final answer
    x = 801.64

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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.