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Finding the Fourth Proportional to 901.83, 1,246.35 and 680.70

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Solution

The fourth proportional to 901.83, 1,246.35 and 680.70 is: 940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.83 : 1,246.35 = 680.70 : x
  2. Step 2: Convert to fraction form
    901.83/1,246.35 = 680.70/x
  3. Step 3: Cross multiply
    901.83x = 1,246.35 × 680.70
  4. Step 4: Simplify right side
    901.83x = 848,390.45
  5. Step 5: Solve for x
    x = 848,390.45/901.83
  6. Step 6: Final answer
    x = 940.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.