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Finding the Fourth Proportional to 1,145.88, 1,718.15 and 415.13

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Solution

The fourth proportional to 1,145.88, 1,718.15 and 415.13 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.88 : 1,718.15 = 415.13 : x
  2. Step 2: Convert to fraction form
    1,145.88/1,718.15 = 415.13/x
  3. Step 3: Cross multiply
    1,145.88x = 1,718.15 × 415.13
  4. Step 4: Simplify right side
    1,145.88x = 713,244.94
  5. Step 5: Solve for x
    x = 713,244.94/1,145.88
  6. Step 6: Final answer
    x = 622.44

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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.