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Finding the Fourth Proportional to 701.90, 1,051.02 and 375.67

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Solution

The fourth proportional to 701.90, 1,051.02 and 375.67 is: 562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.90 : 1,051.02 = 375.67 : x
  2. Step 2: Convert to fraction form
    701.90/1,051.02 = 375.67/x
  3. Step 3: Cross multiply
    701.90x = 1,051.02 × 375.67
  4. Step 4: Simplify right side
    701.90x = 394,834.06
  5. Step 5: Solve for x
    x = 394,834.06/701.90
  6. Step 6: Final answer
    x = 562.53

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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.