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Finding the Fourth Proportional to 831.77, 1,148.07 and 569.73

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Solution

The fourth proportional to 831.77, 1,148.07 and 569.73 is: 786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.77 : 1,148.07 = 569.73 : x
  2. Step 2: Convert to fraction form
    831.77/1,148.07 = 569.73/x
  3. Step 3: Cross multiply
    831.77x = 1,148.07 × 569.73
  4. Step 4: Simplify right side
    831.77x = 654,089.92
  5. Step 5: Solve for x
    x = 654,089.92/831.77
  6. Step 6: Final answer
    x = 786.39

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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.