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Finding the Fourth Proportional to 697.10, 962.16 and 461.09

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Solution

The fourth proportional to 697.10, 962.16 and 461.09 is: 636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.10 : 962.16 = 461.09 : x
  2. Step 2: Convert to fraction form
    697.10/962.16 = 461.09/x
  3. Step 3: Cross multiply
    697.10x = 962.16 × 461.09
  4. Step 4: Simplify right side
    697.10x = 443,642.35
  5. Step 5: Solve for x
    x = 443,642.35/697.10
  6. Step 6: Final answer
    x = 636.41

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1.5x scale

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.