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Finding the Fourth Proportional to 1,300.84, 1,802.70 and 1,276.22

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Solution

The fourth proportional to 1,300.84, 1,802.70 and 1,276.22 is: 1,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.84 : 1,802.70 = 1,276.22 : x
  2. Step 2: Convert to fraction form
    1,300.84/1,802.70 = 1,276.22/x
  3. Step 3: Cross multiply
    1,300.84x = 1,802.70 × 1,276.22
  4. Step 4: Simplify right side
    1,300.84x = 2,300,646.30
  5. Step 5: Solve for x
    x = 2,300,646.30/1,300.84
  6. Step 6: Final answer
    x = 1,768.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.