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Finding the Fourth Proportional to 691.15, 953.06 and 513.83

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Solution

The fourth proportional to 691.15, 953.06 and 513.83 is: 708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.15 : 953.06 = 513.83 : x
  2. Step 2: Convert to fraction form
    691.15/953.06 = 513.83/x
  3. Step 3: Cross multiply
    691.15x = 953.06 × 513.83
  4. Step 4: Simplify right side
    691.15x = 489,713.45
  5. Step 5: Solve for x
    x = 489,713.45/691.15
  6. Step 6: Final answer
    x = 708.54

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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.