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Finding the Fourth Proportional to 990.01, 1,472.55 and 986.67

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Solution

The fourth proportional to 990.01, 1,472.55 and 986.67 is: 1,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.01 : 1,472.55 = 986.67 : x
  2. Step 2: Convert to fraction form
    990.01/1,472.55 = 986.67/x
  3. Step 3: Cross multiply
    990.01x = 1,472.55 × 986.67
  4. Step 4: Simplify right side
    990.01x = 1,452,920.91
  5. Step 5: Solve for x
    x = 1,452,920.91/990.01
  6. Step 6: Final answer
    x = 1,467.58

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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.