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Finding the Fourth Proportional to 1,095.72, 1,643.59 and 315.79

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Solution

The fourth proportional to 1,095.72, 1,643.59 and 315.79 is: 473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.72 : 1,643.59 = 315.79 : x
  2. Step 2: Convert to fraction form
    1,095.72/1,643.59 = 315.79/x
  3. Step 3: Cross multiply
    1,095.72x = 1,643.59 × 315.79
  4. Step 4: Simplify right side
    1,095.72x = 519,029.29
  5. Step 5: Solve for x
    x = 519,029.29/1,095.72
  6. Step 6: Final answer
    x = 473.69

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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.