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Finding the Fourth Proportional to 1,095.58, 1,643.91 and 809.38

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Solution

The fourth proportional to 1,095.58, 1,643.91 and 809.38 is: 1,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.58 : 1,643.91 = 809.38 : x
  2. Step 2: Convert to fraction form
    1,095.58/1,643.91 = 809.38/x
  3. Step 3: Cross multiply
    1,095.58x = 1,643.91 × 809.38
  4. Step 4: Simplify right side
    1,095.58x = 1,330,547.88
  5. Step 5: Solve for x
    x = 1,330,547.88/1,095.58
  6. Step 6: Final answer
    x = 1,214.47

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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.