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Finding the Fourth Proportional to 1,230.21, 1,697.58 and 706.14

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Solution

The fourth proportional to 1,230.21, 1,697.58 and 706.14 is: 974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.21 : 1,697.58 = 706.14 : x
  2. Step 2: Convert to fraction form
    1,230.21/1,697.58 = 706.14/x
  3. Step 3: Cross multiply
    1,230.21x = 1,697.58 × 706.14
  4. Step 4: Simplify right side
    1,230.21x = 1,198,729.14
  5. Step 5: Solve for x
    x = 1,198,729.14/1,230.21
  6. Step 6: Final answer
    x = 974.41

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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.