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Finding the Fourth Proportional to 864.75, 1,193.33 and 528.96

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Solution

The fourth proportional to 864.75, 1,193.33 and 528.96 is: 729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.75 : 1,193.33 = 528.96 : x
  2. Step 2: Convert to fraction form
    864.75/1,193.33 = 528.96/x
  3. Step 3: Cross multiply
    864.75x = 1,193.33 × 528.96
  4. Step 4: Simplify right side
    864.75x = 631,223.84
  5. Step 5: Solve for x
    x = 631,223.84/864.75
  6. Step 6: Final answer
    x = 729.95

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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.