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Finding the Fourth Proportional to 1,776.89, 2,665.31 and 802.31

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Solution

The fourth proportional to 1,776.89, 2,665.31 and 802.31 is: 1,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.89 : 2,665.31 = 802.31 : x
  2. Step 2: Convert to fraction form
    1,776.89/2,665.31 = 802.31/x
  3. Step 3: Cross multiply
    1,776.89x = 2,665.31 × 802.31
  4. Step 4: Simplify right side
    1,776.89x = 2,138,404.87
  5. Step 5: Solve for x
    x = 2,138,404.87/1,776.89
  6. Step 6: Final answer
    x = 1,203.45

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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.