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Finding the Fourth Proportional to 1,114.90, 1,672.14 and 384.48

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Solution

The fourth proportional to 1,114.90, 1,672.14 and 384.48 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.90 : 1,672.14 = 384.48 : x
  2. Step 2: Convert to fraction form
    1,114.90/1,672.14 = 384.48/x
  3. Step 3: Cross multiply
    1,114.90x = 1,672.14 × 384.48
  4. Step 4: Simplify right side
    1,114.90x = 642,904.39
  5. Step 5: Solve for x
    x = 642,904.39/1,114.90
  6. Step 6: Final answer
    x = 576.65

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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.