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Finding the Fourth Proportional to 602.76, 899.05 and 584.54

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Solution

The fourth proportional to 602.76, 899.05 and 584.54 is: 871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 899.05 = 584.54 : x
  2. Step 2: Convert to fraction form
    602.76/899.05 = 584.54/x
  3. Step 3: Cross multiply
    602.76x = 899.05 × 584.54
  4. Step 4: Simplify right side
    602.76x = 525,530.69
  5. Step 5: Solve for x
    x = 525,530.69/602.76
  6. Step 6: Final answer
    x = 871.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.