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Finding the Fourth Proportional to 596.85, 900.89 and 596.85

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Solution

The fourth proportional to 596.85, 900.89 and 596.85 is: 900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 900.89 = 596.85 : x
  2. Step 2: Convert to fraction form
    596.85/900.89 = 596.85/x
  3. Step 3: Cross multiply
    596.85x = 900.89 × 596.85
  4. Step 4: Simplify right side
    596.85x = 537,693.21
  5. Step 5: Solve for x
    x = 537,693.21/596.85
  6. Step 6: Final answer
    x = 900.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.