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Finding the Fourth Proportional to 1,095.23, 1,643.13 and 364.82

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Solution

The fourth proportional to 1,095.23, 1,643.13 and 364.82 is: 547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.23 : 1,643.13 = 364.82 : x
  2. Step 2: Convert to fraction form
    1,095.23/1,643.13 = 364.82/x
  3. Step 3: Cross multiply
    1,095.23x = 1,643.13 × 364.82
  4. Step 4: Simplify right side
    1,095.23x = 599,438.47
  5. Step 5: Solve for x
    x = 599,438.47/1,095.23
  6. Step 6: Final answer
    x = 547.32

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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.