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Finding the Fourth Proportional to 965.97, 1,333.06 and 572.99

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Solution

The fourth proportional to 965.97, 1,333.06 and 572.99 is: 790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.97 : 1,333.06 = 572.99 : x
  2. Step 2: Convert to fraction form
    965.97/1,333.06 = 572.99/x
  3. Step 3: Cross multiply
    965.97x = 1,333.06 × 572.99
  4. Step 4: Simplify right side
    965.97x = 763,821.95
  5. Step 5: Solve for x
    x = 763,821.95/965.97
  6. Step 6: Final answer
    x = 790.73

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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.