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Finding the Fourth Proportional to 1,047.86, 1,570.35 and 662.42

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Solution

The fourth proportional to 1,047.86, 1,570.35 and 662.42 is: 992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.86 : 1,570.35 = 662.42 : x
  2. Step 2: Convert to fraction form
    1,047.86/1,570.35 = 662.42/x
  3. Step 3: Cross multiply
    1,047.86x = 1,570.35 × 662.42
  4. Step 4: Simplify right side
    1,047.86x = 1,040,231.25
  5. Step 5: Solve for x
    x = 1,040,231.25/1,047.86
  6. Step 6: Final answer
    x = 992.72

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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.