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Finding the Fourth Proportional to 713.59, 984.61 and 403.03

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Solution

The fourth proportional to 713.59, 984.61 and 403.03 is: 556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.59 : 984.61 = 403.03 : x
  2. Step 2: Convert to fraction form
    713.59/984.61 = 403.03/x
  3. Step 3: Cross multiply
    713.59x = 984.61 × 403.03
  4. Step 4: Simplify right side
    713.59x = 396,827.37
  5. Step 5: Solve for x
    x = 396,827.37/713.59
  6. Step 6: Final answer
    x = 556.10

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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.