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Finding the Fourth Proportional to 914.59, 1,372.03 and 394.74

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Solution

The fourth proportional to 914.59, 1,372.03 and 394.74 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.59 : 1,372.03 = 394.74 : x
  2. Step 2: Convert to fraction form
    914.59/1,372.03 = 394.74/x
  3. Step 3: Cross multiply
    914.59x = 1,372.03 × 394.74
  4. Step 4: Simplify right side
    914.59x = 541,595.12
  5. Step 5: Solve for x
    x = 541,595.12/914.59
  6. Step 6: Final answer
    x = 592.17

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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.