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Finding the Fourth Proportional to 1,292.03, 1,935.73 and 828.66

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Solution

The fourth proportional to 1,292.03, 1,935.73 and 828.66 is: 1,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.03 : 1,935.73 = 828.66 : x
  2. Step 2: Convert to fraction form
    1,292.03/1,935.73 = 828.66/x
  3. Step 3: Cross multiply
    1,292.03x = 1,935.73 × 828.66
  4. Step 4: Simplify right side
    1,292.03x = 1,604,070.32
  5. Step 5: Solve for x
    x = 1,604,070.32/1,292.03
  6. Step 6: Final answer
    x = 1,241.51

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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.