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Finding the Fourth Proportional to 659.24, 989.04 and 538.64

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Solution

The fourth proportional to 659.24, 989.04 and 538.64 is: 808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.24 : 989.04 = 538.64 : x
  2. Step 2: Convert to fraction form
    659.24/989.04 = 538.64/x
  3. Step 3: Cross multiply
    659.24x = 989.04 × 538.64
  4. Step 4: Simplify right side
    659.24x = 532,736.51
  5. Step 5: Solve for x
    x = 532,736.51/659.24
  6. Step 6: Final answer
    x = 808.11

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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.