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Finding the Fourth Proportional to 1,342.87, 2,014.36 and 368.96

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Solution

The fourth proportional to 1,342.87, 2,014.36 and 368.96 is: 553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.87 : 2,014.36 = 368.96 : x
  2. Step 2: Convert to fraction form
    1,342.87/2,014.36 = 368.96/x
  3. Step 3: Cross multiply
    1,342.87x = 2,014.36 × 368.96
  4. Step 4: Simplify right side
    1,342.87x = 743,207.27
  5. Step 5: Solve for x
    x = 743,207.27/1,342.87
  6. Step 6: Final answer
    x = 553.45

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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.