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Finding the Fourth Proportional to 1,131.88, 1,700.06 and 688.06

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Solution

The fourth proportional to 1,131.88, 1,700.06 and 688.06 is: 1,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.88 : 1,700.06 = 688.06 : x
  2. Step 2: Convert to fraction form
    1,131.88/1,700.06 = 688.06/x
  3. Step 3: Cross multiply
    1,131.88x = 1,700.06 × 688.06
  4. Step 4: Simplify right side
    1,131.88x = 1,169,743.28
  5. Step 5: Solve for x
    x = 1,169,743.28/1,131.88
  6. Step 6: Final answer
    x = 1,033.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.