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Finding the Fourth Proportional to 595.74, 820.83 and 568.10

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Solution

The fourth proportional to 595.74, 820.83 and 568.10 is: 782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.74 : 820.83 = 568.10 : x
  2. Step 2: Convert to fraction form
    595.74/820.83 = 568.10/x
  3. Step 3: Cross multiply
    595.74x = 820.83 × 568.10
  4. Step 4: Simplify right side
    595.74x = 466,309.42
  5. Step 5: Solve for x
    x = 466,309.42/595.74
  6. Step 6: Final answer
    x = 782.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.