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Finding the Fourth Proportional to 705.88, 1,057.02 and 474.52

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Solution

The fourth proportional to 705.88, 1,057.02 and 474.52 is: 710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.88 : 1,057.02 = 474.52 : x
  2. Step 2: Convert to fraction form
    705.88/1,057.02 = 474.52/x
  3. Step 3: Cross multiply
    705.88x = 1,057.02 × 474.52
  4. Step 4: Simplify right side
    705.88x = 501,577.13
  5. Step 5: Solve for x
    x = 501,577.13/705.88
  6. Step 6: Final answer
    x = 710.57

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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.