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Finding the Fourth Proportional to 990.02, 1,363.77 and 945.86

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Solution

The fourth proportional to 990.02, 1,363.77 and 945.86 is: 1,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.02 : 1,363.77 = 945.86 : x
  2. Step 2: Convert to fraction form
    990.02/1,363.77 = 945.86/x
  3. Step 3: Cross multiply
    990.02x = 1,363.77 × 945.86
  4. Step 4: Simplify right side
    990.02x = 1,289,935.49
  5. Step 5: Solve for x
    x = 1,289,935.49/990.02
  6. Step 6: Final answer
    x = 1,302.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.