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Finding the Fourth Proportional to 1,087.18, 1,499.72 and 688.12

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Solution

The fourth proportional to 1,087.18, 1,499.72 and 688.12 is: 949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.18 : 1,499.72 = 688.12 : x
  2. Step 2: Convert to fraction form
    1,087.18/1,499.72 = 688.12/x
  3. Step 3: Cross multiply
    1,087.18x = 1,499.72 × 688.12
  4. Step 4: Simplify right side
    1,087.18x = 1,031,980.14
  5. Step 5: Solve for x
    x = 1,031,980.14/1,087.18
  6. Step 6: Final answer
    x = 949.23

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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.