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Finding the Fourth Proportional to 634.10, 875.12 and 583.88

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Solution

The fourth proportional to 634.10, 875.12 and 583.88 is: 805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.10 : 875.12 = 583.88 : x
  2. Step 2: Convert to fraction form
    634.10/875.12 = 583.88/x
  3. Step 3: Cross multiply
    634.10x = 875.12 × 583.88
  4. Step 4: Simplify right side
    634.10x = 510,957.77
  5. Step 5: Solve for x
    x = 510,957.77/634.10
  6. Step 6: Final answer
    x = 805.81

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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.