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Finding the Fourth Proportional to 912.88, 1,259.53 and 617.64

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Solution

The fourth proportional to 912.88, 1,259.53 and 617.64 is: 852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.88 : 1,259.53 = 617.64 : x
  2. Step 2: Convert to fraction form
    912.88/1,259.53 = 617.64/x
  3. Step 3: Cross multiply
    912.88x = 1,259.53 × 617.64
  4. Step 4: Simplify right side
    912.88x = 777,936.11
  5. Step 5: Solve for x
    x = 777,936.11/912.88
  6. Step 6: Final answer
    x = 852.18

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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.