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Finding the Fourth Proportional to 831.69, 1,147.08 and 551.82

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Solution

The fourth proportional to 831.69, 1,147.08 and 551.82 is: 761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.69 : 1,147.08 = 551.82 : x
  2. Step 2: Convert to fraction form
    831.69/1,147.08 = 551.82/x
  3. Step 3: Cross multiply
    831.69x = 1,147.08 × 551.82
  4. Step 4: Simplify right side
    831.69x = 632,981.69
  5. Step 5: Solve for x
    x = 632,981.69/831.69
  6. Step 6: Final answer
    x = 761.08

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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.