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Finding the Fourth Proportional to 988.92, 1,364.51 and 569.27

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Solution

The fourth proportional to 988.92, 1,364.51 and 569.27 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.92 : 1,364.51 = 569.27 : x
  2. Step 2: Convert to fraction form
    988.92/1,364.51 = 569.27/x
  3. Step 3: Cross multiply
    988.92x = 1,364.51 × 569.27
  4. Step 4: Simplify right side
    988.92x = 776,764.94
  5. Step 5: Solve for x
    x = 776,764.94/988.92
  6. Step 6: Final answer
    x = 785.47

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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.