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Finding the Fourth Proportional to 993.06, 1,369.64 and 643.14

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Solution

The fourth proportional to 993.06, 1,369.64 and 643.14 is: 887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.06 : 1,369.64 = 643.14 : x
  2. Step 2: Convert to fraction form
    993.06/1,369.64 = 643.14/x
  3. Step 3: Cross multiply
    993.06x = 1,369.64 × 643.14
  4. Step 4: Simplify right side
    993.06x = 880,870.27
  5. Step 5: Solve for x
    x = 880,870.27/993.06
  6. Step 6: Final answer
    x = 887.03

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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.