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Finding the Fourth Proportional to 1,095.84, 1,643.76 and 326.28

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Solution

The fourth proportional to 1,095.84, 1,643.76 and 326.28 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.84 : 1,643.76 = 326.28 : x
  2. Step 2: Convert to fraction form
    1,095.84/1,643.76 = 326.28/x
  3. Step 3: Cross multiply
    1,095.84x = 1,643.76 × 326.28
  4. Step 4: Simplify right side
    1,095.84x = 536,326.01
  5. Step 5: Solve for x
    x = 536,326.01/1,095.84
  6. Step 6: Final answer
    x = 489.42

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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.