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Finding the Fourth Proportional to 801.84, 1,107.12 and 569.28

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Solution

The fourth proportional to 801.84, 1,107.12 and 569.28 is: 786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.84 : 1,107.12 = 569.28 : x
  2. Step 2: Convert to fraction form
    801.84/1,107.12 = 569.28/x
  3. Step 3: Cross multiply
    801.84x = 1,107.12 × 569.28
  4. Step 4: Simplify right side
    801.84x = 630,261.27
  5. Step 5: Solve for x
    x = 630,261.27/801.84
  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.