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Finding the Fourth Proportional to 1,134.34, 1,701.14 and 364.66

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Solution

The fourth proportional to 1,134.34, 1,701.14 and 364.66 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.34 : 1,701.14 = 364.66 : x
  2. Step 2: Convert to fraction form
    1,134.34/1,701.14 = 364.66/x
  3. Step 3: Cross multiply
    1,134.34x = 1,701.14 × 364.66
  4. Step 4: Simplify right side
    1,134.34x = 620,337.71
  5. Step 5: Solve for x
    x = 620,337.71/1,134.34
  6. Step 6: Final answer
    x = 546.87

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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.