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Finding the Fourth Proportional to 1,507.16, 2,259.22 and 726.02

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Solution

The fourth proportional to 1,507.16, 2,259.22 and 726.02 is: 1,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.16 : 2,259.22 = 726.02 : x
  2. Step 2: Convert to fraction form
    1,507.16/2,259.22 = 726.02/x
  3. Step 3: Cross multiply
    1,507.16x = 2,259.22 × 726.02
  4. Step 4: Simplify right side
    1,507.16x = 1,640,238.90
  5. Step 5: Solve for x
    x = 1,640,238.90/1,507.16
  6. Step 6: Final answer
    x = 1,088.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.