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Finding the Fourth Proportional to 831.84, 1,146.90 and 654.48

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Solution

The fourth proportional to 831.84, 1,146.90 and 654.48 is: 902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.84 : 1,146.90 = 654.48 : x
  2. Step 2: Convert to fraction form
    831.84/1,146.90 = 654.48/x
  3. Step 3: Cross multiply
    831.84x = 1,146.90 × 654.48
  4. Step 4: Simplify right side
    831.84x = 750,623.11
  5. Step 5: Solve for x
    x = 750,623.11/831.84
  6. Step 6: Final answer
    x = 902.36

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Double scale
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Similar ratio
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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.