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Finding the Fourth Proportional to 1,217.58, 1,825.82 and 568.50

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Solution

The fourth proportional to 1,217.58, 1,825.82 and 568.50 is: 852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.58 : 1,825.82 = 568.50 : x
  2. Step 2: Convert to fraction form
    1,217.58/1,825.82 = 568.50/x
  3. Step 3: Cross multiply
    1,217.58x = 1,825.82 × 568.50
  4. Step 4: Simplify right side
    1,217.58x = 1,037,978.67
  5. Step 5: Solve for x
    x = 1,037,978.67/1,217.58
  6. Step 6: Final answer
    x = 852.49

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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.