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Finding the Fourth Proportional to 602.58, 901.94 and 545.75

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Solution

The fourth proportional to 602.58, 901.94 and 545.75 is: 816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.58 : 901.94 = 545.75 : x
  2. Step 2: Convert to fraction form
    602.58/901.94 = 545.75/x
  3. Step 3: Cross multiply
    602.58x = 901.94 × 545.75
  4. Step 4: Simplify right side
    602.58x = 492,229.90
  5. Step 5: Solve for x
    x = 492,229.90/602.58
  6. Step 6: Final answer
    x = 816.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.