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Finding the Fourth Proportional to 990.50, 1,483.58 and 557.42

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Solution

The fourth proportional to 990.50, 1,483.58 and 557.42 is: 834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.50 : 1,483.58 = 557.42 : x
  2. Step 2: Convert to fraction form
    990.50/1,483.58 = 557.42/x
  3. Step 3: Cross multiply
    990.50x = 1,483.58 × 557.42
  4. Step 4: Simplify right side
    990.50x = 826,971.14
  5. Step 5: Solve for x
    x = 826,971.14/990.50
  6. Step 6: Final answer
    x = 834.91

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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.