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Finding the Fourth Proportional to 1,207.41, 1,667.59 and 813.75

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Solution

The fourth proportional to 1,207.41, 1,667.59 and 813.75 is: 1,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.41 : 1,667.59 = 813.75 : x
  2. Step 2: Convert to fraction form
    1,207.41/1,667.59 = 813.75/x
  3. Step 3: Cross multiply
    1,207.41x = 1,667.59 × 813.75
  4. Step 4: Simplify right side
    1,207.41x = 1,356,993.02
  5. Step 5: Solve for x
    x = 1,356,993.02/1,207.41
  6. Step 6: Final answer
    x = 1,123.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.