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Finding the Fourth Proportional to 900.23, 1,241.49 and 568.07

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Solution

The fourth proportional to 900.23, 1,241.49 and 568.07 is: 783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.23 : 1,241.49 = 568.07 : x
  2. Step 2: Convert to fraction form
    900.23/1,241.49 = 568.07/x
  3. Step 3: Cross multiply
    900.23x = 1,241.49 × 568.07
  4. Step 4: Simplify right side
    900.23x = 705,247.02
  5. Step 5: Solve for x
    x = 705,247.02/900.23
  6. Step 6: Final answer
    x = 783.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.