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Finding the Fourth Proportional to 513.08, 702.97 and 505.88

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Solution

The fourth proportional to 513.08, 702.97 and 505.88 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.08 : 702.97 = 505.88 : x
  2. Step 2: Convert to fraction form
    513.08/702.97 = 505.88/x
  3. Step 3: Cross multiply
    513.08x = 702.97 × 505.88
  4. Step 4: Simplify right side
    513.08x = 355,618.46
  5. Step 5: Solve for x
    x = 355,618.46/513.08
  6. Step 6: Final answer
    x = 693.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.