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Finding the Fourth Proportional to 691.20, 1,036.53 and 430.82

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Solution

The fourth proportional to 691.20, 1,036.53 and 430.82 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 1,036.53 = 430.82 : x
  2. Step 2: Convert to fraction form
    691.20/1,036.53 = 430.82/x
  3. Step 3: Cross multiply
    691.20x = 1,036.53 × 430.82
  4. Step 4: Simplify right side
    691.20x = 446,556.56
  5. Step 5: Solve for x
    x = 446,556.56/691.20
  6. Step 6: Final answer
    x = 646.06

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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.