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Finding the Fourth Proportional to 1,103.02, 1,652.73 and 990.10

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Solution

The fourth proportional to 1,103.02, 1,652.73 and 990.10 is: 1,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.02 : 1,652.73 = 990.10 : x
  2. Step 2: Convert to fraction form
    1,103.02/1,652.73 = 990.10/x
  3. Step 3: Cross multiply
    1,103.02x = 1,652.73 × 990.10
  4. Step 4: Simplify right side
    1,103.02x = 1,636,367.97
  5. Step 5: Solve for x
    x = 1,636,367.97/1,103.02
  6. Step 6: Final answer
    x = 1,483.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.