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Finding the Fourth Proportional to 691.42, 1,036.68 and 448.12

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Solution

The fourth proportional to 691.42, 1,036.68 and 448.12 is: 671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.42 : 1,036.68 = 448.12 : x
  2. Step 2: Convert to fraction form
    691.42/1,036.68 = 448.12/x
  3. Step 3: Cross multiply
    691.42x = 1,036.68 × 448.12
  4. Step 4: Simplify right side
    691.42x = 464,557.04
  5. Step 5: Solve for x
    x = 464,557.04/691.42
  6. Step 6: Final answer
    x = 671.89

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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.