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Finding the Fourth Proportional to 1,203.84, 1,802.90 and 769.68

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Solution

The fourth proportional to 1,203.84, 1,802.90 and 769.68 is: 1,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.84 : 1,802.90 = 769.68 : x
  2. Step 2: Convert to fraction form
    1,203.84/1,802.90 = 769.68/x
  3. Step 3: Cross multiply
    1,203.84x = 1,802.90 × 769.68
  4. Step 4: Simplify right side
    1,203.84x = 1,387,656.07
  5. Step 5: Solve for x
    x = 1,387,656.07/1,203.84
  6. Step 6: Final answer
    x = 1,152.69

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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.