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Finding the Fourth Proportional to 690.44, 953.46 and 525.80

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Solution

The fourth proportional to 690.44, 953.46 and 525.80 is: 726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.44 : 953.46 = 525.80 : x
  2. Step 2: Convert to fraction form
    690.44/953.46 = 525.80/x
  3. Step 3: Cross multiply
    690.44x = 953.46 × 525.80
  4. Step 4: Simplify right side
    690.44x = 501,329.27
  5. Step 5: Solve for x
    x = 501,329.27/690.44
  6. Step 6: Final answer
    x = 726.10

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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.