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Finding the Fourth Proportional to 600.70, 899.61 and 586.12

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Solution

The fourth proportional to 600.70, 899.61 and 586.12 is: 877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 899.61 = 586.12 : x
  2. Step 2: Convert to fraction form
    600.70/899.61 = 586.12/x
  3. Step 3: Cross multiply
    600.70x = 899.61 × 586.12
  4. Step 4: Simplify right side
    600.70x = 527,279.41
  5. Step 5: Solve for x
    x = 527,279.41/600.70
  6. Step 6: Final answer
    x = 877.77

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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.