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Finding the Fourth Proportional to 1,303.29, 1,799.13 and 831.83

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Solution

The fourth proportional to 1,303.29, 1,799.13 and 831.83 is: 1,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.29 : 1,799.13 = 831.83 : x
  2. Step 2: Convert to fraction form
    1,303.29/1,799.13 = 831.83/x
  3. Step 3: Cross multiply
    1,303.29x = 1,799.13 × 831.83
  4. Step 4: Simplify right side
    1,303.29x = 1,496,561.31
  5. Step 5: Solve for x
    x = 1,496,561.31/1,303.29
  6. Step 6: Final answer
    x = 1,148.29

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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.