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Finding the Fourth Proportional to 1,509.73, 2,263.53 and 665.02

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Solution

The fourth proportional to 1,509.73, 2,263.53 and 665.02 is: 997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.73 : 2,263.53 = 665.02 : x
  2. Step 2: Convert to fraction form
    1,509.73/2,263.53 = 665.02/x
  3. Step 3: Cross multiply
    1,509.73x = 2,263.53 × 665.02
  4. Step 4: Simplify right side
    1,509.73x = 1,505,299.61
  5. Step 5: Solve for x
    x = 1,505,299.61/1,509.73
  6. Step 6: Final answer
    x = 997.07

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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.