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Finding the Fourth Proportional to 1,975.14, 2,962.32 and 658.68

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Solution

The fourth proportional to 1,975.14, 2,962.32 and 658.68 is: 987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.14 : 2,962.32 = 658.68 : x
  2. Step 2: Convert to fraction form
    1,975.14/2,962.32 = 658.68/x
  3. Step 3: Cross multiply
    1,975.14x = 2,962.32 × 658.68
  4. Step 4: Simplify right side
    1,975.14x = 1,951,220.94
  5. Step 5: Solve for x
    x = 1,951,220.94/1,975.14
  6. Step 6: Final answer
    x = 987.89

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1.5x scale

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.