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Finding the Fourth Proportional to 1,802.60, 2,703.90 and 648.44

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Solution

The fourth proportional to 1,802.60, 2,703.90 and 648.44 is: 972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.60 : 2,703.90 = 648.44 : x
  2. Step 2: Convert to fraction form
    1,802.60/2,703.90 = 648.44/x
  3. Step 3: Cross multiply
    1,802.60x = 2,703.90 × 648.44
  4. Step 4: Simplify right side
    1,802.60x = 1,753,316.92
  5. Step 5: Solve for x
    x = 1,753,316.92/1,802.60
  6. Step 6: Final answer
    x = 972.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.