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Finding the Fourth Proportional to 1,230.93, 1,698.98 and 707.27

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Solution

The fourth proportional to 1,230.93, 1,698.98 and 707.27 is: 976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.93 : 1,698.98 = 707.27 : x
  2. Step 2: Convert to fraction form
    1,230.93/1,698.98 = 707.27/x
  3. Step 3: Cross multiply
    1,230.93x = 1,698.98 × 707.27
  4. Step 4: Simplify right side
    1,230.93x = 1,201,625.55
  5. Step 5: Solve for x
    x = 1,201,625.55/1,230.93
  6. Step 6: Final answer
    x = 976.19

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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.