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Finding the Fourth Proportional to 1,113.27, 1,536.90 and 864.03

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Solution

The fourth proportional to 1,113.27, 1,536.90 and 864.03 is: 1,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.27 : 1,536.90 = 864.03 : x
  2. Step 2: Convert to fraction form
    1,113.27/1,536.90 = 864.03/x
  3. Step 3: Cross multiply
    1,113.27x = 1,536.90 × 864.03
  4. Step 4: Simplify right side
    1,113.27x = 1,327,927.71
  5. Step 5: Solve for x
    x = 1,327,927.71/1,113.27
  6. Step 6: Final answer
    x = 1,192.82

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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.