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Finding the Fourth Proportional to 774.40, 1,159.92 and 637.12

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Solution

The fourth proportional to 774.40, 1,159.92 and 637.12 is: 954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.40 : 1,159.92 = 637.12 : x
  2. Step 2: Convert to fraction form
    774.40/1,159.92 = 637.12/x
  3. Step 3: Cross multiply
    774.40x = 1,159.92 × 637.12
  4. Step 4: Simplify right side
    774.40x = 739,008.23
  5. Step 5: Solve for x
    x = 739,008.23/774.40
  6. Step 6: Final answer
    x = 954.30

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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.