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Finding the Fourth Proportional to 916, 1,264.62 and 606.04

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Solution

The fourth proportional to 916, 1,264.62 and 606.04 is: 836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    916 : 1,264.62 = 606.04 : x
  2. Step 2: Convert to fraction form
    916/1,264.62 = 606.04/x
  3. Step 3: Cross multiply
    916x = 1,264.62 × 606.04
  4. Step 4: Simplify right side
    916x = 766,410.30
  5. Step 5: Solve for x
    x = 766,410.30/916
  6. Step 6: Final answer
    x = 836.69

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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.