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Finding the Fourth Proportional to 1,223.29, 1,831.77 and 852.58

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Solution

The fourth proportional to 1,223.29, 1,831.77 and 852.58 is: 1,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.29 : 1,831.77 = 852.58 : x
  2. Step 2: Convert to fraction form
    1,223.29/1,831.77 = 852.58/x
  3. Step 3: Cross multiply
    1,223.29x = 1,831.77 × 852.58
  4. Step 4: Simplify right side
    1,223.29x = 1,561,730.47
  5. Step 5: Solve for x
    x = 1,561,730.47/1,223.29
  6. Step 6: Final answer
    x = 1,276.66

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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.