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Finding the Fourth Proportional to 1,506.08, 2,259.16 and 531.96

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Solution

The fourth proportional to 1,506.08, 2,259.16 and 531.96 is: 797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.08 : 2,259.16 = 531.96 : x
  2. Step 2: Convert to fraction form
    1,506.08/2,259.16 = 531.96/x
  3. Step 3: Cross multiply
    1,506.08x = 2,259.16 × 531.96
  4. Step 4: Simplify right side
    1,506.08x = 1,201,782.75
  5. Step 5: Solve for x
    x = 1,201,782.75/1,506.08
  6. Step 6: Final answer
    x = 797.95

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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.