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Finding the Fourth Proportional to 691.18, 954.00 and 443.10

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Solution

The fourth proportional to 691.18, 954.00 and 443.10 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.18 : 954.00 = 443.10 : x
  2. Step 2: Convert to fraction form
    691.18/954.00 = 443.10/x
  3. Step 3: Cross multiply
    691.18x = 954.00 × 443.10
  4. Step 4: Simplify right side
    691.18x = 422,714.17
  5. Step 5: Solve for x
    x = 422,714.17/691.18
  6. Step 6: Final answer
    x = 611.58

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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.