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Finding the Fourth Proportional to 1,143.42, 1,715.24 and 412.84

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Solution

The fourth proportional to 1,143.42, 1,715.24 and 412.84 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.42 : 1,715.24 = 412.84 : x
  2. Step 2: Convert to fraction form
    1,143.42/1,715.24 = 412.84/x
  3. Step 3: Cross multiply
    1,143.42x = 1,715.24 × 412.84
  4. Step 4: Simplify right side
    1,143.42x = 708,119.68
  5. Step 5: Solve for x
    x = 708,119.68/1,143.42
  6. Step 6: Final answer
    x = 619.30

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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.