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Finding the Fourth Proportional to 1,276.03, 1,762.23 and 833.77

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Solution

The fourth proportional to 1,276.03, 1,762.23 and 833.77 is: 1,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.03 : 1,762.23 = 833.77 : x
  2. Step 2: Convert to fraction form
    1,276.03/1,762.23 = 833.77/x
  3. Step 3: Cross multiply
    1,276.03x = 1,762.23 × 833.77
  4. Step 4: Simplify right side
    1,276.03x = 1,469,294.51
  5. Step 5: Solve for x
    x = 1,469,294.51/1,276.03
  6. Step 6: Final answer
    x = 1,151.46

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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.