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Finding the Fourth Proportional to 600.58, 900.76 and 585.85

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Solution

The fourth proportional to 600.58, 900.76 and 585.85 is: 878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.58 : 900.76 = 585.85 : x
  2. Step 2: Convert to fraction form
    600.58/900.76 = 585.85/x
  3. Step 3: Cross multiply
    600.58x = 900.76 × 585.85
  4. Step 4: Simplify right side
    600.58x = 527,706.53
  5. Step 5: Solve for x
    x = 527,706.53/600.58
  6. Step 6: Final answer
    x = 878.67

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Why These Related Problems?

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