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Finding the Fourth Proportional to 1,145.88, 1,718.90 and 324.14

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Solution

The fourth proportional to 1,145.88, 1,718.90 and 324.14 is: 486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.88 : 1,718.90 = 324.14 : x
  2. Step 2: Convert to fraction form
    1,145.88/1,718.90 = 324.14/x
  3. Step 3: Cross multiply
    1,145.88x = 1,718.90 × 324.14
  4. Step 4: Simplify right side
    1,145.88x = 557,154.03
  5. Step 5: Solve for x
    x = 557,154.03/1,145.88
  6. Step 6: Final answer
    x = 486.22

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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.