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Finding the Fourth Proportional to 723.01, 1,086.93 and 570.77

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Solution

The fourth proportional to 723.01, 1,086.93 and 570.77 is: 858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.01 : 1,086.93 = 570.77 : x
  2. Step 2: Convert to fraction form
    723.01/1,086.93 = 570.77/x
  3. Step 3: Cross multiply
    723.01x = 1,086.93 × 570.77
  4. Step 4: Simplify right side
    723.01x = 620,387.04
  5. Step 5: Solve for x
    x = 620,387.04/723.01
  6. Step 6: Final answer
    x = 858.06

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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.