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Finding the Fourth Proportional to 1,776.70, 2,665.03 and 802.12

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Solution

The fourth proportional to 1,776.70, 2,665.03 and 802.12 is: 1,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.70 : 2,665.03 = 802.12 : x
  2. Step 2: Convert to fraction form
    1,776.70/2,665.03 = 802.12/x
  3. Step 3: Cross multiply
    1,776.70x = 2,665.03 × 802.12
  4. Step 4: Simplify right side
    1,776.70x = 2,137,673.86
  5. Step 5: Solve for x
    x = 2,137,673.86/1,776.70
  6. Step 6: Final answer
    x = 1,203.17

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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.