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Finding the Fourth Proportional to 1,145.17, 1,718.15 and 451.44

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Solution

The fourth proportional to 1,145.17, 1,718.15 and 451.44 is: 677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.17 : 1,718.15 = 451.44 : x
  2. Step 2: Convert to fraction form
    1,145.17/1,718.15 = 451.44/x
  3. Step 3: Cross multiply
    1,145.17x = 1,718.15 × 451.44
  4. Step 4: Simplify right side
    1,145.17x = 775,639.38
  5. Step 5: Solve for x
    x = 775,639.38/1,145.17
  6. Step 6: Final answer
    x = 677.31

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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.