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Finding the Fourth Proportional to 1,230.70, 1,698.26 and 706.62

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Solution

The fourth proportional to 1,230.70, 1,698.26 and 706.62 is: 975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.70 : 1,698.26 = 706.62 : x
  2. Step 2: Convert to fraction form
    1,230.70/1,698.26 = 706.62/x
  3. Step 3: Cross multiply
    1,230.70x = 1,698.26 × 706.62
  4. Step 4: Simplify right side
    1,230.70x = 1,200,024.48
  5. Step 5: Solve for x
    x = 1,200,024.48/1,230.70
  6. Step 6: Final answer
    x = 975.07

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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.