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Finding the Fourth Proportional to 647.99, 971.33 and 596.09

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Solution

The fourth proportional to 647.99, 971.33 and 596.09 is: 893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.99 : 971.33 = 596.09 : x
  2. Step 2: Convert to fraction form
    647.99/971.33 = 596.09/x
  3. Step 3: Cross multiply
    647.99x = 971.33 × 596.09
  4. Step 4: Simplify right side
    647.99x = 578,992.26
  5. Step 5: Solve for x
    x = 578,992.26/647.99
  6. Step 6: Final answer
    x = 893.53

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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.