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Finding the Fourth Proportional to 691.93, 953.94 and 495.10

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Solution

The fourth proportional to 691.93, 953.94 and 495.10 is: 682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.93 : 953.94 = 495.10 : x
  2. Step 2: Convert to fraction form
    691.93/953.94 = 495.10/x
  3. Step 3: Cross multiply
    691.93x = 953.94 × 495.10
  4. Step 4: Simplify right side
    691.93x = 472,295.69
  5. Step 5: Solve for x
    x = 472,295.69/691.93
  6. Step 6: Final answer
    x = 682.58

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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.