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Finding the Fourth Proportional to 817.84, 1,128.42 and 569.68

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Solution

The fourth proportional to 817.84, 1,128.42 and 569.68 is: 786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.84 : 1,128.42 = 569.68 : x
  2. Step 2: Convert to fraction form
    817.84/1,128.42 = 569.68/x
  3. Step 3: Cross multiply
    817.84x = 1,128.42 × 569.68
  4. Step 4: Simplify right side
    817.84x = 642,838.31
  5. Step 5: Solve for x
    x = 642,838.31/817.84
  6. Step 6: Final answer
    x = 786.02

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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.