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Finding the Fourth Proportional to 1,230.14, 1,697.64 and 706.22

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Solution

The fourth proportional to 1,230.14, 1,697.64 and 706.22 is: 974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.14 : 1,697.64 = 706.22 : x
  2. Step 2: Convert to fraction form
    1,230.14/1,697.64 = 706.22/x
  3. Step 3: Cross multiply
    1,230.14x = 1,697.64 × 706.22
  4. Step 4: Simplify right side
    1,230.14x = 1,198,907.32
  5. Step 5: Solve for x
    x = 1,198,907.32/1,230.14
  6. Step 6: Final answer
    x = 974.61

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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.