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Finding the Fourth Proportional to 1,202.27, 1,658.90 and 705.07

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Solution

The fourth proportional to 1,202.27, 1,658.90 and 705.07 is: 972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.27 : 1,658.90 = 705.07 : x
  2. Step 2: Convert to fraction form
    1,202.27/1,658.90 = 705.07/x
  3. Step 3: Cross multiply
    1,202.27x = 1,658.90 × 705.07
  4. Step 4: Simplify right side
    1,202.27x = 1,169,628.80
  5. Step 5: Solve for x
    x = 1,169,628.80/1,202.27
  6. Step 6: Final answer
    x = 972.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.