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Finding the Fourth Proportional to 901.63, 1,244.78 and 591.67

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Solution

The fourth proportional to 901.63, 1,244.78 and 591.67 is: 816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.63 : 1,244.78 = 591.67 : x
  2. Step 2: Convert to fraction form
    901.63/1,244.78 = 591.67/x
  3. Step 3: Cross multiply
    901.63x = 1,244.78 × 591.67
  4. Step 4: Simplify right side
    901.63x = 736,498.98
  5. Step 5: Solve for x
    x = 736,498.98/901.63
  6. Step 6: Final answer
    x = 816.85

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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.