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Finding the Fourth Proportional to 705.04, 972.57 and 573.82

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Solution

The fourth proportional to 705.04, 972.57 and 573.82 is: 791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.04 : 972.57 = 573.82 : x
  2. Step 2: Convert to fraction form
    705.04/972.57 = 573.82/x
  3. Step 3: Cross multiply
    705.04x = 972.57 × 573.82
  4. Step 4: Simplify right side
    705.04x = 558,080.12
  5. Step 5: Solve for x
    x = 558,080.12/705.04
  6. Step 6: Final answer
    x = 791.56

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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.