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Finding the Fourth Proportional to 1,095.32, 1,643.09 and 364.95

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Solution

The fourth proportional to 1,095.32, 1,643.09 and 364.95 is: 547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.32 : 1,643.09 = 364.95 : x
  2. Step 2: Convert to fraction form
    1,095.32/1,643.09 = 364.95/x
  3. Step 3: Cross multiply
    1,095.32x = 1,643.09 × 364.95
  4. Step 4: Simplify right side
    1,095.32x = 599,645.70
  5. Step 5: Solve for x
    x = 599,645.70/1,095.32
  6. Step 6: Final answer
    x = 547.46

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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.