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Finding the Fourth Proportional to 839.02, 1,258.32 and 400.16

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Solution

The fourth proportional to 839.02, 1,258.32 and 400.16 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.02 : 1,258.32 = 400.16 : x
  2. Step 2: Convert to fraction form
    839.02/1,258.32 = 400.16/x
  3. Step 3: Cross multiply
    839.02x = 1,258.32 × 400.16
  4. Step 4: Simplify right side
    839.02x = 503,529.33
  5. Step 5: Solve for x
    x = 503,529.33/839.02
  6. Step 6: Final answer
    x = 600.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.