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Finding the Fourth Proportional to 1,230.43, 1,698.14 and 706.45

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Solution

The fourth proportional to 1,230.43, 1,698.14 and 706.45 is: 974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.43 : 1,698.14 = 706.45 : x
  2. Step 2: Convert to fraction form
    1,230.43/1,698.14 = 706.45/x
  3. Step 3: Cross multiply
    1,230.43x = 1,698.14 × 706.45
  4. Step 4: Simplify right side
    1,230.43x = 1,199,651.00
  5. Step 5: Solve for x
    x = 1,199,651.00/1,230.43
  6. Step 6: Final answer
    x = 974.99

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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.