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Finding the Fourth Proportional to 601.16, 899.96 and 513.95

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Solution

The fourth proportional to 601.16, 899.96 and 513.95 is: 769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.16 : 899.96 = 513.95 : x
  2. Step 2: Convert to fraction form
    601.16/899.96 = 513.95/x
  3. Step 3: Cross multiply
    601.16x = 899.96 × 513.95
  4. Step 4: Simplify right side
    601.16x = 462,527.37
  5. Step 5: Solve for x
    x = 462,527.37/601.16
  6. Step 6: Final answer
    x = 769.40

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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.