Home / 1,225.24-1,688.91-831.58

Finding the Fourth Proportional to 1,225.24, 1,688.91 and 831.58

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Solution

The fourth proportional to 1,225.24, 1,688.91 and 831.58 is: 1,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.24 : 1,688.91 = 831.58 : x
  2. Step 2: Convert to fraction form
    1,225.24/1,688.91 = 831.58/x
  3. Step 3: Cross multiply
    1,225.24x = 1,688.91 × 831.58
  4. Step 4: Simplify right side
    1,225.24x = 1,404,463.78
  5. Step 5: Solve for x
    x = 1,404,463.78/1,225.24
  6. Step 6: Final answer
    x = 1,146.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.