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Finding the Fourth Proportional to 1,230.63, 1,698.62 and 706.83

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Solution

The fourth proportional to 1,230.63, 1,698.62 and 706.83 is: 975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.63 : 1,698.62 = 706.83 : x
  2. Step 2: Convert to fraction form
    1,230.63/1,698.62 = 706.83/x
  3. Step 3: Cross multiply
    1,230.63x = 1,698.62 × 706.83
  4. Step 4: Simplify right side
    1,230.63x = 1,200,632.04
  5. Step 5: Solve for x
    x = 1,200,632.04/1,230.63
  6. Step 6: Final answer
    x = 975.62

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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.