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Finding the Fourth Proportional to 1,465.32, 2,196.66 and 540.25

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Solution

The fourth proportional to 1,465.32, 2,196.66 and 540.25 is: 809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.32 : 2,196.66 = 540.25 : x
  2. Step 2: Convert to fraction form
    1,465.32/2,196.66 = 540.25/x
  3. Step 3: Cross multiply
    1,465.32x = 2,196.66 × 540.25
  4. Step 4: Simplify right side
    1,465.32x = 1,186,745.57
  5. Step 5: Solve for x
    x = 1,186,745.57/1,465.32
  6. Step 6: Final answer
    x = 809.89

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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.