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Finding the Fourth Proportional to 993.02, 1,483.82 and 757.46

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Solution

The fourth proportional to 993.02, 1,483.82 and 757.46 is: 1,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.02 : 1,483.82 = 757.46 : x
  2. Step 2: Convert to fraction form
    993.02/1,483.82 = 757.46/x
  3. Step 3: Cross multiply
    993.02x = 1,483.82 × 757.46
  4. Step 4: Simplify right side
    993.02x = 1,123,929.76
  5. Step 5: Solve for x
    x = 1,123,929.76/993.02
  6. Step 6: Final answer
    x = 1,131.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.