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Finding the Fourth Proportional to 1,643.25, 2,465.22 and 532.72

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Solution

The fourth proportional to 1,643.25, 2,465.22 and 532.72 is: 799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.25 : 2,465.22 = 532.72 : x
  2. Step 2: Convert to fraction form
    1,643.25/2,465.22 = 532.72/x
  3. Step 3: Cross multiply
    1,643.25x = 2,465.22 × 532.72
  4. Step 4: Simplify right side
    1,643.25x = 1,313,277.08
  5. Step 5: Solve for x
    x = 1,313,277.08/1,643.25
  6. Step 6: Final answer
    x = 799.19

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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.