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Finding the Fourth Proportional to 691.14, 1,037.58 and 448.68

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Solution

The fourth proportional to 691.14, 1,037.58 and 448.68 is: 673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.14 : 1,037.58 = 448.68 : x
  2. Step 2: Convert to fraction form
    691.14/1,037.58 = 448.68/x
  3. Step 3: Cross multiply
    691.14x = 1,037.58 × 448.68
  4. Step 4: Simplify right side
    691.14x = 465,541.39
  5. Step 5: Solve for x
    x = 465,541.39/691.14
  6. Step 6: Final answer
    x = 673.58

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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.