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Finding the Fourth Proportional to 859.55, 1,289.88 and 448.56

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Solution

The fourth proportional to 859.55, 1,289.88 and 448.56 is: 673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.55 : 1,289.88 = 448.56 : x
  2. Step 2: Convert to fraction form
    859.55/1,289.88 = 448.56/x
  3. Step 3: Cross multiply
    859.55x = 1,289.88 × 448.56
  4. Step 4: Simplify right side
    859.55x = 578,588.57
  5. Step 5: Solve for x
    x = 578,588.57/859.55
  6. Step 6: Final answer
    x = 673.13

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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.