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Finding the Fourth Proportional to 660.83, 991.56 and 467.07

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Solution

The fourth proportional to 660.83, 991.56 and 467.07 is: 700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.83 : 991.56 = 467.07 : x
  2. Step 2: Convert to fraction form
    660.83/991.56 = 467.07/x
  3. Step 3: Cross multiply
    660.83x = 991.56 × 467.07
  4. Step 4: Simplify right side
    660.83x = 463,129.20
  5. Step 5: Solve for x
    x = 463,129.20/660.83
  6. Step 6: Final answer
    x = 700.83

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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.