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Finding the Fourth Proportional to 1,095.65, 1,643.57 and 437.37

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Solution

The fourth proportional to 1,095.65, 1,643.57 and 437.37 is: 656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.65 : 1,643.57 = 437.37 : x
  2. Step 2: Convert to fraction form
    1,095.65/1,643.57 = 437.37/x
  3. Step 3: Cross multiply
    1,095.65x = 1,643.57 × 437.37
  4. Step 4: Simplify right side
    1,095.65x = 718,848.21
  5. Step 5: Solve for x
    x = 718,848.21/1,095.65
  6. Step 6: Final answer
    x = 656.09

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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.