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Finding the Fourth Proportional to 1,006.59, 1,507.86 and 762.51

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Solution

The fourth proportional to 1,006.59, 1,507.86 and 762.51 is: 1,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.59 : 1,507.86 = 762.51 : x
  2. Step 2: Convert to fraction form
    1,006.59/1,507.86 = 762.51/x
  3. Step 3: Cross multiply
    1,006.59x = 1,507.86 × 762.51
  4. Step 4: Simplify right side
    1,006.59x = 1,149,758.33
  5. Step 5: Solve for x
    x = 1,149,758.33/1,006.59
  6. Step 6: Final answer
    x = 1,142.23

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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.