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Finding the Fourth Proportional to 900.97, 1,242.52 and 568.82

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Solution

The fourth proportional to 900.97, 1,242.52 and 568.82 is: 784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.97 : 1,242.52 = 568.82 : x
  2. Step 2: Convert to fraction form
    900.97/1,242.52 = 568.82/x
  3. Step 3: Cross multiply
    900.97x = 1,242.52 × 568.82
  4. Step 4: Simplify right side
    900.97x = 706,771.91
  5. Step 5: Solve for x
    x = 706,771.91/900.97
  6. Step 6: Final answer
    x = 784.46

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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.