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Finding the Fourth Proportional to 912.88, 1,259.09 and 614.03

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Solution

The fourth proportional to 912.88, 1,259.09 and 614.03 is: 846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.88 : 1,259.09 = 614.03 : x
  2. Step 2: Convert to fraction form
    912.88/1,259.09 = 614.03/x
  3. Step 3: Cross multiply
    912.88x = 1,259.09 × 614.03
  4. Step 4: Simplify right side
    912.88x = 773,111.97
  5. Step 5: Solve for x
    x = 773,111.97/912.88
  6. Step 6: Final answer
    x = 846.90

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1.5x scale

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.