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Finding the Fourth Proportional to 1,217.46, 1,825.72 and 524.14

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Solution

The fourth proportional to 1,217.46, 1,825.72 and 524.14 is: 786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.46 : 1,825.72 = 524.14 : x
  2. Step 2: Convert to fraction form
    1,217.46/1,825.72 = 524.14/x
  3. Step 3: Cross multiply
    1,217.46x = 1,825.72 × 524.14
  4. Step 4: Simplify right side
    1,217.46x = 956,932.88
  5. Step 5: Solve for x
    x = 956,932.88/1,217.46
  6. Step 6: Final answer
    x = 786.01

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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.