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Finding the Fourth Proportional to 1,026.09, 1,415.66 and 802.83

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Solution

The fourth proportional to 1,026.09, 1,415.66 and 802.83 is: 1,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.09 : 1,415.66 = 802.83 : x
  2. Step 2: Convert to fraction form
    1,026.09/1,415.66 = 802.83/x
  3. Step 3: Cross multiply
    1,026.09x = 1,415.66 × 802.83
  4. Step 4: Simplify right side
    1,026.09x = 1,136,530.30
  5. Step 5: Solve for x
    x = 1,136,530.30/1,026.09
  6. Step 6: Final answer
    x = 1,107.63

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Why These Related Problems?

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