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Finding the Fourth Proportional to 831.63, 1,147.69 and 482.34

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Solution

The fourth proportional to 831.63, 1,147.69 and 482.34 is: 665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.63 : 1,147.69 = 482.34 : x
  2. Step 2: Convert to fraction form
    831.63/1,147.69 = 482.34/x
  3. Step 3: Cross multiply
    831.63x = 1,147.69 × 482.34
  4. Step 4: Simplify right side
    831.63x = 553,576.79
  5. Step 5: Solve for x
    x = 553,576.79/831.63
  6. Step 6: Final answer
    x = 665.65

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1.5x scale

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.