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Finding the Fourth Proportional to 831.40, 1,147.54 and 551.50

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Solution

The fourth proportional to 831.40, 1,147.54 and 551.50 is: 761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.40 : 1,147.54 = 551.50 : x
  2. Step 2: Convert to fraction form
    831.40/1,147.54 = 551.50/x
  3. Step 3: Cross multiply
    831.40x = 1,147.54 × 551.50
  4. Step 4: Simplify right side
    831.40x = 632,868.31
  5. Step 5: Solve for x
    x = 632,868.31/831.40
  6. Step 6: Final answer
    x = 761.21

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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.