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Finding the Fourth Proportional to 1,007.05, 1,507.05 and 762.43

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Solution

The fourth proportional to 1,007.05, 1,507.05 and 762.43 is: 1,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.05 : 1,507.05 = 762.43 : x
  2. Step 2: Convert to fraction form
    1,007.05/1,507.05 = 762.43/x
  3. Step 3: Cross multiply
    1,007.05x = 1,507.05 × 762.43
  4. Step 4: Simplify right side
    1,007.05x = 1,149,020.13
  5. Step 5: Solve for x
    x = 1,149,020.13/1,007.05
  6. Step 6: Final answer
    x = 1,140.98

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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.