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Finding the Fourth Proportional to 1,003.65, 1,505.61 and 455.97

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Solution

The fourth proportional to 1,003.65, 1,505.61 and 455.97 is: 684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.65 : 1,505.61 = 455.97 : x
  2. Step 2: Convert to fraction form
    1,003.65/1,505.61 = 455.97/x
  3. Step 3: Cross multiply
    1,003.65x = 1,505.61 × 455.97
  4. Step 4: Simplify right side
    1,003.65x = 686,512.99
  5. Step 5: Solve for x
    x = 686,512.99/1,003.65
  6. Step 6: Final answer
    x = 684.02

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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.