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Finding the Fourth Proportional to 1,009.07, 1,507.86 and 757.26

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Solution

The fourth proportional to 1,009.07, 1,507.86 and 757.26 is: 1,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.07 : 1,507.86 = 757.26 : x
  2. Step 2: Convert to fraction form
    1,009.07/1,507.86 = 757.26/x
  3. Step 3: Cross multiply
    1,009.07x = 1,507.86 × 757.26
  4. Step 4: Simplify right side
    1,009.07x = 1,141,842.06
  5. Step 5: Solve for x
    x = 1,141,842.06/1,009.07
  6. Step 6: Final answer
    x = 1,131.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.