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Finding the Fourth Proportional to 1,334.73, 1,999.01 and 924.15

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Solution

The fourth proportional to 1,334.73, 1,999.01 and 924.15 is: 1,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.73 : 1,999.01 = 924.15 : x
  2. Step 2: Convert to fraction form
    1,334.73/1,999.01 = 924.15/x
  3. Step 3: Cross multiply
    1,334.73x = 1,999.01 × 924.15
  4. Step 4: Simplify right side
    1,334.73x = 1,847,394.90
  5. Step 5: Solve for x
    x = 1,847,394.90/1,334.73
  6. Step 6: Final answer
    x = 1,384.10

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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.