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Finding the Fourth Proportional to 1,968.31, 2,952.28 and 600.31

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Solution

The fourth proportional to 1,968.31, 2,952.28 and 600.31 is: 900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.31 : 2,952.28 = 600.31 : x
  2. Step 2: Convert to fraction form
    1,968.31/2,952.28 = 600.31/x
  3. Step 3: Cross multiply
    1,968.31x = 2,952.28 × 600.31
  4. Step 4: Simplify right side
    1,968.31x = 1,772,266.94
  5. Step 5: Solve for x
    x = 1,772,266.94/1,968.31
  6. Step 6: Final answer
    x = 900.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.