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Finding the Fourth Proportional to 1,114.64, 1,672.11 and 384.02

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Solution

The fourth proportional to 1,114.64, 1,672.11 and 384.02 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,672.11 = 384.02 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,672.11 = 384.02/x
  3. Step 3: Cross multiply
    1,114.64x = 1,672.11 × 384.02
  4. Step 4: Simplify right side
    1,114.64x = 642,115.32
  5. Step 5: Solve for x
    x = 642,115.32/1,114.64
  6. Step 6: Final answer
    x = 576.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.