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Finding the Fourth Proportional to 650.85, 977.45 and 598.70

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Solution

The fourth proportional to 650.85, 977.45 and 598.70 is: 899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.85 : 977.45 = 598.70 : x
  2. Step 2: Convert to fraction form
    650.85/977.45 = 598.70/x
  3. Step 3: Cross multiply
    650.85x = 977.45 × 598.70
  4. Step 4: Simplify right side
    650.85x = 585,191.43
  5. Step 5: Solve for x
    x = 585,191.43/650.85
  6. Step 6: Final answer
    x = 899.12

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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.