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Finding the Fourth Proportional to 595.12, 894.03 and 513.11

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Solution

The fourth proportional to 595.12, 894.03 and 513.11 is: 770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.12 : 894.03 = 513.11 : x
  2. Step 2: Convert to fraction form
    595.12/894.03 = 513.11/x
  3. Step 3: Cross multiply
    595.12x = 894.03 × 513.11
  4. Step 4: Simplify right side
    595.12x = 458,729.34
  5. Step 5: Solve for x
    x = 458,729.34/595.12
  6. Step 6: Final answer
    x = 770.82

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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.