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Finding the Fourth Proportional to 780.89, 1,169.71 and 370.35

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Solution

The fourth proportional to 780.89, 1,169.71 and 370.35 is: 554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.89 : 1,169.71 = 370.35 : x
  2. Step 2: Convert to fraction form
    780.89/1,169.71 = 370.35/x
  3. Step 3: Cross multiply
    780.89x = 1,169.71 × 370.35
  4. Step 4: Simplify right side
    780.89x = 433,201.17
  5. Step 5: Solve for x
    x = 433,201.17/780.89
  6. Step 6: Final answer
    x = 554.76

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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.