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Finding the Fourth Proportional to 989.20, 1,364.99 and 569.47

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Solution

The fourth proportional to 989.20, 1,364.99 and 569.47 is: 785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.20 : 1,364.99 = 569.47 : x
  2. Step 2: Convert to fraction form
    989.20/1,364.99 = 569.47/x
  3. Step 3: Cross multiply
    989.20x = 1,364.99 × 569.47
  4. Step 4: Simplify right side
    989.20x = 777,320.86
  5. Step 5: Solve for x
    x = 777,320.86/989.20
  6. Step 6: Final answer
    x = 785.81

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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.