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Finding the Fourth Proportional to 1,465.12, 2,197.56 and 540.64

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Solution

The fourth proportional to 1,465.12, 2,197.56 and 540.64 is: 810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.12 : 2,197.56 = 540.64 : x
  2. Step 2: Convert to fraction form
    1,465.12/2,197.56 = 540.64/x
  3. Step 3: Cross multiply
    1,465.12x = 2,197.56 × 540.64
  4. Step 4: Simplify right side
    1,465.12x = 1,188,088.84
  5. Step 5: Solve for x
    x = 1,188,088.84/1,465.12
  6. Step 6: Final answer
    x = 810.92

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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.