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Finding the Fourth Proportional to 633.15, 873.81 and 583.74

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Solution

The fourth proportional to 633.15, 873.81 and 583.74 is: 805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.15 : 873.81 = 583.74 : x
  2. Step 2: Convert to fraction form
    633.15/873.81 = 583.74/x
  3. Step 3: Cross multiply
    633.15x = 873.81 × 583.74
  4. Step 4: Simplify right side
    633.15x = 510,077.85
  5. Step 5: Solve for x
    x = 510,077.85/633.15
  6. Step 6: Final answer
    x = 805.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.