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Finding the Fourth Proportional to 691.30, 1,037.06 and 344.64

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Solution

The fourth proportional to 691.30, 1,037.06 and 344.64 is: 517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.30 : 1,037.06 = 344.64 : x
  2. Step 2: Convert to fraction form
    691.30/1,037.06 = 344.64/x
  3. Step 3: Cross multiply
    691.30x = 1,037.06 × 344.64
  4. Step 4: Simplify right side
    691.30x = 357,412.36
  5. Step 5: Solve for x
    x = 357,412.36/691.30
  6. Step 6: Final answer
    x = 517.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.