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Finding the Fourth Proportional to 989.17, 1,364.85 and 569.52

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Solution

The fourth proportional to 989.17, 1,364.85 and 569.52 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.17 : 1,364.85 = 569.52 : x
  2. Step 2: Convert to fraction form
    989.17/1,364.85 = 569.52/x
  3. Step 3: Cross multiply
    989.17x = 1,364.85 × 569.52
  4. Step 4: Simplify right side
    989.17x = 777,309.37
  5. Step 5: Solve for x
    x = 777,309.37/989.17
  6. Step 6: Final answer
    x = 785.82

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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.