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Finding the Fourth Proportional to 1,709.29, 2,563.98 and 476.70

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Solution

The fourth proportional to 1,709.29, 2,563.98 and 476.70 is: 715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.29 : 2,563.98 = 476.70 : x
  2. Step 2: Convert to fraction form
    1,709.29/2,563.98 = 476.70/x
  3. Step 3: Cross multiply
    1,709.29x = 2,563.98 × 476.70
  4. Step 4: Simplify right side
    1,709.29x = 1,222,249.27
  5. Step 5: Solve for x
    x = 1,222,249.27/1,709.29
  6. Step 6: Final answer
    x = 715.06

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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.