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Finding the Fourth Proportional to 1,047.27, 1,570.90 and 682.77

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Solution

The fourth proportional to 1,047.27, 1,570.90 and 682.77 is: 1,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.27 : 1,570.90 = 682.77 : x
  2. Step 2: Convert to fraction form
    1,047.27/1,570.90 = 682.77/x
  3. Step 3: Cross multiply
    1,047.27x = 1,570.90 × 682.77
  4. Step 4: Simplify right side
    1,047.27x = 1,072,563.39
  5. Step 5: Solve for x
    x = 1,072,563.39/1,047.27
  6. Step 6: Final answer
    x = 1,024.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.