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Finding the Fourth Proportional to 701.01, 1,046.43 and 596.52

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Solution

The fourth proportional to 701.01, 1,046.43 and 596.52 is: 890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.01 : 1,046.43 = 596.52 : x
  2. Step 2: Convert to fraction form
    701.01/1,046.43 = 596.52/x
  3. Step 3: Cross multiply
    701.01x = 1,046.43 × 596.52
  4. Step 4: Simplify right side
    701.01x = 624,216.42
  5. Step 5: Solve for x
    x = 624,216.42/701.01
  6. Step 6: Final answer
    x = 890.45

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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.