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Finding the Fourth Proportional to 596.94, 890.12 and 557.22

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Solution

The fourth proportional to 596.94, 890.12 and 557.22 is: 830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 890.12 = 557.22 : x
  2. Step 2: Convert to fraction form
    596.94/890.12 = 557.22/x
  3. Step 3: Cross multiply
    596.94x = 890.12 × 557.22
  4. Step 4: Simplify right side
    596.94x = 495,989.88
  5. Step 5: Solve for x
    x = 495,989.88/596.94
  6. Step 6: Final answer
    x = 830.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.