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Finding the Fourth Proportional to 916.74, 1,373.95 and 396.14

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Solution

The fourth proportional to 916.74, 1,373.95 and 396.14 is: 593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.74 : 1,373.95 = 396.14 : x
  2. Step 2: Convert to fraction form
    916.74/1,373.95 = 396.14/x
  3. Step 3: Cross multiply
    916.74x = 1,373.95 × 396.14
  4. Step 4: Simplify right side
    916.74x = 544,276.55
  5. Step 5: Solve for x
    x = 544,276.55/916.74
  6. Step 6: Final answer
    x = 593.71

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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.