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Finding the Fourth Proportional to 687.17, 1,029.74 and 467.52

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Solution

The fourth proportional to 687.17, 1,029.74 and 467.52 is: 700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.17 : 1,029.74 = 467.52 : x
  2. Step 2: Convert to fraction form
    687.17/1,029.74 = 467.52/x
  3. Step 3: Cross multiply
    687.17x = 1,029.74 × 467.52
  4. Step 4: Simplify right side
    687.17x = 481,421.71
  5. Step 5: Solve for x
    x = 481,421.71/687.17
  6. Step 6: Final answer
    x = 700.59

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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.