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Finding the Fourth Proportional to 595.16, 891.94 and 517.76

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Solution

The fourth proportional to 595.16, 891.94 and 517.76 is: 775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 891.94 = 517.76 : x
  2. Step 2: Convert to fraction form
    595.16/891.94 = 517.76/x
  3. Step 3: Cross multiply
    595.16x = 891.94 × 517.76
  4. Step 4: Simplify right side
    595.16x = 461,810.85
  5. Step 5: Solve for x
    x = 461,810.85/595.16
  6. Step 6: Final answer
    x = 775.94

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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.