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Finding the Fourth Proportional to 1,189.72, 1,641.82 and 651.35

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Solution

The fourth proportional to 1,189.72, 1,641.82 and 651.35 is: 898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.72 : 1,641.82 = 651.35 : x
  2. Step 2: Convert to fraction form
    1,189.72/1,641.82 = 651.35/x
  3. Step 3: Cross multiply
    1,189.72x = 1,641.82 × 651.35
  4. Step 4: Simplify right side
    1,189.72x = 1,069,404.38
  5. Step 5: Solve for x
    x = 1,069,404.38/1,189.72
  6. Step 6: Final answer
    x = 898.87

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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.