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Finding the Fourth Proportional to 659.66, 989.51 and 529.06

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Solution

The fourth proportional to 659.66, 989.51 and 529.06 is: 793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.66 : 989.51 = 529.06 : x
  2. Step 2: Convert to fraction form
    659.66/989.51 = 529.06/x
  3. Step 3: Cross multiply
    659.66x = 989.51 × 529.06
  4. Step 4: Simplify right side
    659.66x = 523,510.16
  5. Step 5: Solve for x
    x = 523,510.16/659.66
  6. Step 6: Final answer
    x = 793.61

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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.