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Finding the Fourth Proportional to 847.33, 1,269.54 and 569.16

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Solution

The fourth proportional to 847.33, 1,269.54 and 569.16 is: 852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.33 : 1,269.54 = 569.16 : x
  2. Step 2: Convert to fraction form
    847.33/1,269.54 = 569.16/x
  3. Step 3: Cross multiply
    847.33x = 1,269.54 × 569.16
  4. Step 4: Simplify right side
    847.33x = 722,571.39
  5. Step 5: Solve for x
    x = 722,571.39/847.33
  6. Step 6: Final answer
    x = 852.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.