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Finding the Fourth Proportional to 1,134.24, 1,697.76 and 928.32

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Solution

The fourth proportional to 1,134.24, 1,697.76 and 928.32 is: 1,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.24 : 1,697.76 = 928.32 : x
  2. Step 2: Convert to fraction form
    1,134.24/1,697.76 = 928.32/x
  3. Step 3: Cross multiply
    1,134.24x = 1,697.76 × 928.32
  4. Step 4: Simplify right side
    1,134.24x = 1,576,064.56
  5. Step 5: Solve for x
    x = 1,576,064.56/1,134.24
  6. Step 6: Final answer
    x = 1,389.53

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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.