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Finding the Fourth Proportional to 650.43, 977.99 and 594.51

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Solution

The fourth proportional to 650.43, 977.99 and 594.51 is: 893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 977.99 = 594.51 : x
  2. Step 2: Convert to fraction form
    650.43/977.99 = 594.51/x
  3. Step 3: Cross multiply
    650.43x = 977.99 × 594.51
  4. Step 4: Simplify right side
    650.43x = 581,421.86
  5. Step 5: Solve for x
    x = 581,421.86/650.43
  6. Step 6: Final answer
    x = 893.90

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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.