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Finding the Fourth Proportional to 1,095.25, 1,643.16 and 325.75

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Solution

The fourth proportional to 1,095.25, 1,643.16 and 325.75 is: 488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.25 : 1,643.16 = 325.75 : x
  2. Step 2: Convert to fraction form
    1,095.25/1,643.16 = 325.75/x
  3. Step 3: Cross multiply
    1,095.25x = 1,643.16 × 325.75
  4. Step 4: Simplify right side
    1,095.25x = 535,259.37
  5. Step 5: Solve for x
    x = 535,259.37/1,095.25
  6. Step 6: Final answer
    x = 488.71

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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.