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Finding the Fourth Proportional to 701.22, 1,051.47 and 376.74

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Solution

The fourth proportional to 701.22, 1,051.47 and 376.74 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.22 : 1,051.47 = 376.74 : x
  2. Step 2: Convert to fraction form
    701.22/1,051.47 = 376.74/x
  3. Step 3: Cross multiply
    701.22x = 1,051.47 × 376.74
  4. Step 4: Simplify right side
    701.22x = 396,130.81
  5. Step 5: Solve for x
    x = 396,130.81/701.22
  6. Step 6: Final answer
    x = 564.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.