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Finding the Fourth Proportional to 1,202.14, 1,658.77 and 704.67

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Solution

The fourth proportional to 1,202.14, 1,658.77 and 704.67 is: 972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.14 : 1,658.77 = 704.67 : x
  2. Step 2: Convert to fraction form
    1,202.14/1,658.77 = 704.67/x
  3. Step 3: Cross multiply
    1,202.14x = 1,658.77 × 704.67
  4. Step 4: Simplify right side
    1,202.14x = 1,168,885.46
  5. Step 5: Solve for x
    x = 1,168,885.46/1,202.14
  6. Step 6: Final answer
    x = 972.34

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1.5x scale

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.