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Finding the Fourth Proportional to 1,095.48, 1,643.90 and 437.27

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Solution

The fourth proportional to 1,095.48, 1,643.90 and 437.27 is: 656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.48 : 1,643.90 = 437.27 : x
  2. Step 2: Convert to fraction form
    1,095.48/1,643.90 = 437.27/x
  3. Step 3: Cross multiply
    1,095.48x = 1,643.90 × 437.27
  4. Step 4: Simplify right side
    1,095.48x = 718,817.75
  5. Step 5: Solve for x
    x = 718,817.75/1,095.48
  6. Step 6: Final answer
    x = 656.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.