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Finding the Fourth Proportional to 807.09, 1,209.78 and 368.70

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Solution

The fourth proportional to 807.09, 1,209.78 and 368.70 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.09 : 1,209.78 = 368.70 : x
  2. Step 2: Convert to fraction form
    807.09/1,209.78 = 368.70/x
  3. Step 3: Cross multiply
    807.09x = 1,209.78 × 368.70
  4. Step 4: Simplify right side
    807.09x = 446,045.89
  5. Step 5: Solve for x
    x = 446,045.89/807.09
  6. Step 6: Final answer
    x = 552.66

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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.