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Finding the Fourth Proportional to 1,013.95, 1,521.62 and 667.45

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Solution

The fourth proportional to 1,013.95, 1,521.62 and 667.45 is: 1,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.95 : 1,521.62 = 667.45 : x
  2. Step 2: Convert to fraction form
    1,013.95/1,521.62 = 667.45/x
  3. Step 3: Cross multiply
    1,013.95x = 1,521.62 × 667.45
  4. Step 4: Simplify right side
    1,013.95x = 1,015,605.27
  5. Step 5: Solve for x
    x = 1,015,605.27/1,013.95
  6. Step 6: Final answer
    x = 1,001.63

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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.