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Finding the Fourth Proportional to 1,231.20, 1,698.71 and 707.13

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Solution

The fourth proportional to 1,231.20, 1,698.71 and 707.13 is: 975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.20 : 1,698.71 = 707.13 : x
  2. Step 2: Convert to fraction form
    1,231.20/1,698.71 = 707.13/x
  3. Step 3: Cross multiply
    1,231.20x = 1,698.71 × 707.13
  4. Step 4: Simplify right side
    1,231.20x = 1,201,205.27
  5. Step 5: Solve for x
    x = 1,201,205.27/1,231.20
  6. Step 6: Final answer
    x = 975.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.