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Finding the Fourth Proportional to 659.76, 989.76 and 467.52

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Solution

The fourth proportional to 659.76, 989.76 and 467.52 is: 701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.76 : 989.76 = 467.52 : x
  2. Step 2: Convert to fraction form
    659.76/989.76 = 467.52/x
  3. Step 3: Cross multiply
    659.76x = 989.76 × 467.52
  4. Step 4: Simplify right side
    659.76x = 462,732.60
  5. Step 5: Solve for x
    x = 462,732.60/659.76
  6. Step 6: Final answer
    x = 701.37

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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.