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Finding the Fourth Proportional to 912.02, 1,258.56 and 539.02

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Solution

The fourth proportional to 912.02, 1,258.56 and 539.02 is: 743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.02 : 1,258.56 = 539.02 : x
  2. Step 2: Convert to fraction form
    912.02/1,258.56 = 539.02/x
  3. Step 3: Cross multiply
    912.02x = 1,258.56 × 539.02
  4. Step 4: Simplify right side
    912.02x = 678,389.01
  5. Step 5: Solve for x
    x = 678,389.01/912.02
  6. Step 6: Final answer
    x = 743.83

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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.