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Finding the Fourth Proportional to 1,000.23, 1,497.49 and 795.09

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Solution

The fourth proportional to 1,000.23, 1,497.49 and 795.09 is: 1,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.23 : 1,497.49 = 795.09 : x
  2. Step 2: Convert to fraction form
    1,000.23/1,497.49 = 795.09/x
  3. Step 3: Cross multiply
    1,000.23x = 1,497.49 × 795.09
  4. Step 4: Simplify right side
    1,000.23x = 1,190,639.32
  5. Step 5: Solve for x
    x = 1,190,639.32/1,000.23
  6. Step 6: Final answer
    x = 1,190.37

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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.