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Finding the Fourth Proportional to 861.04, 1,289.01 and 568.00

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Solution

The fourth proportional to 861.04, 1,289.01 and 568.00 is: 850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.04 : 1,289.01 = 568.00 : x
  2. Step 2: Convert to fraction form
    861.04/1,289.01 = 568.00/x
  3. Step 3: Cross multiply
    861.04x = 1,289.01 × 568.00
  4. Step 4: Simplify right side
    861.04x = 732,151.23
  5. Step 5: Solve for x
    x = 732,151.23/861.04
  6. Step 6: Final answer
    x = 850.32

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