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Finding the Fourth Proportional to 1,114.46, 1,671.98 and 384.06

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Solution

The fourth proportional to 1,114.46, 1,671.98 and 384.06 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.46 : 1,671.98 = 384.06 : x
  2. Step 2: Convert to fraction form
    1,114.46/1,671.98 = 384.06/x
  3. Step 3: Cross multiply
    1,114.46x = 1,671.98 × 384.06
  4. Step 4: Simplify right side
    1,114.46x = 642,138.72
  5. Step 5: Solve for x
    x = 642,138.72/1,114.46
  6. Step 6: Final answer
    x = 576.19

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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.