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Finding the Fourth Proportional to 1,145.34, 1,718.70 and 414.86

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Solution

The fourth proportional to 1,145.34, 1,718.70 and 414.86 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.34 : 1,718.70 = 414.86 : x
  2. Step 2: Convert to fraction form
    1,145.34/1,718.70 = 414.86/x
  3. Step 3: Cross multiply
    1,145.34x = 1,718.70 × 414.86
  4. Step 4: Simplify right side
    1,145.34x = 713,019.88
  5. Step 5: Solve for x
    x = 713,019.88/1,145.34
  6. Step 6: Final answer
    x = 622.54

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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.