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Finding the Fourth Proportional to 912.84, 1,259.75 and 540.03

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Solution

The fourth proportional to 912.84, 1,259.75 and 540.03 is: 745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.84 : 1,259.75 = 540.03 : x
  2. Step 2: Convert to fraction form
    912.84/1,259.75 = 540.03/x
  3. Step 3: Cross multiply
    912.84x = 1,259.75 × 540.03
  4. Step 4: Simplify right side
    912.84x = 680,308.87
  5. Step 5: Solve for x
    x = 680,308.87/912.84
  6. Step 6: Final answer
    x = 745.27

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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.