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Finding the Fourth Proportional to 659.19, 987.42 and 476.94

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Solution

The fourth proportional to 659.19, 987.42 and 476.94 is: 714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.19 : 987.42 = 476.94 : x
  2. Step 2: Convert to fraction form
    659.19/987.42 = 476.94/x
  3. Step 3: Cross multiply
    659.19x = 987.42 × 476.94
  4. Step 4: Simplify right side
    659.19x = 470,940.09
  5. Step 5: Solve for x
    x = 470,940.09/659.19
  6. Step 6: Final answer
    x = 714.42

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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.