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Finding the Fourth Proportional to 1,217.07, 1,825.80 and 524.07

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Solution

The fourth proportional to 1,217.07, 1,825.80 and 524.07 is: 786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.07 : 1,825.80 = 524.07 : x
  2. Step 2: Convert to fraction form
    1,217.07/1,825.80 = 524.07/x
  3. Step 3: Cross multiply
    1,217.07x = 1,825.80 × 524.07
  4. Step 4: Simplify right side
    1,217.07x = 956,847.01
  5. Step 5: Solve for x
    x = 956,847.01/1,217.07
  6. Step 6: Final answer
    x = 786.19

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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.