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Finding the Fourth Proportional to 990.07, 1,484.66 and 527.76

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Solution

The fourth proportional to 990.07, 1,484.66 and 527.76 is: 791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.07 : 1,484.66 = 527.76 : x
  2. Step 2: Convert to fraction form
    990.07/1,484.66 = 527.76/x
  3. Step 3: Cross multiply
    990.07x = 1,484.66 × 527.76
  4. Step 4: Simplify right side
    990.07x = 783,545.48
  5. Step 5: Solve for x
    x = 783,545.48/990.07
  6. Step 6: Final answer
    x = 791.41

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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.