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Finding the Fourth Proportional to 1,231.42, 1,698.96 and 707.26

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Solution

The fourth proportional to 1,231.42, 1,698.96 and 707.26 is: 975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.42 : 1,698.96 = 707.26 : x
  2. Step 2: Convert to fraction form
    1,231.42/1,698.96 = 707.26/x
  3. Step 3: Cross multiply
    1,231.42x = 1,698.96 × 707.26
  4. Step 4: Simplify right side
    1,231.42x = 1,201,606.45
  5. Step 5: Solve for x
    x = 1,201,606.45/1,231.42
  6. Step 6: Final answer
    x = 975.79

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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.