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Finding the Fourth Proportional to 1,035.82, 1,553.20 and 332.93

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Solution

The fourth proportional to 1,035.82, 1,553.20 and 332.93 is: 499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.82 : 1,553.20 = 332.93 : x
  2. Step 2: Convert to fraction form
    1,035.82/1,553.20 = 332.93/x
  3. Step 3: Cross multiply
    1,035.82x = 1,553.20 × 332.93
  4. Step 4: Simplify right side
    1,035.82x = 517,106.88
  5. Step 5: Solve for x
    x = 517,106.88/1,035.82
  6. Step 6: Final answer
    x = 499.22

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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.