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Finding the Fourth Proportional to 912.12, 1,258.68 and 539.21

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Solution

The fourth proportional to 912.12, 1,258.68 and 539.21 is: 744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.12 : 1,258.68 = 539.21 : x
  2. Step 2: Convert to fraction form
    912.12/1,258.68 = 539.21/x
  3. Step 3: Cross multiply
    912.12x = 1,258.68 × 539.21
  4. Step 4: Simplify right side
    912.12x = 678,686.55
  5. Step 5: Solve for x
    x = 678,686.55/912.12
  6. Step 6: Final answer
    x = 744.08

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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.