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Finding the Fourth Proportional to 831.04, 1,152.29 and 787.30

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Solution

The fourth proportional to 831.04, 1,152.29 and 787.30 is: 1,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.04 : 1,152.29 = 787.30 : x
  2. Step 2: Convert to fraction form
    831.04/1,152.29 = 787.30/x
  3. Step 3: Cross multiply
    831.04x = 1,152.29 × 787.30
  4. Step 4: Simplify right side
    831.04x = 907,197.92
  5. Step 5: Solve for x
    x = 907,197.92/831.04
  6. Step 6: Final answer
    x = 1,091.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.