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Finding the Fourth Proportional to 1,309.88, 1,964.82 and 444.12

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Solution

The fourth proportional to 1,309.88, 1,964.82 and 444.12 is: 666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.88 : 1,964.82 = 444.12 : x
  2. Step 2: Convert to fraction form
    1,309.88/1,964.82 = 444.12/x
  3. Step 3: Cross multiply
    1,309.88x = 1,964.82 × 444.12
  4. Step 4: Simplify right side
    1,309.88x = 872,615.86
  5. Step 5: Solve for x
    x = 872,615.86/1,309.88
  6. Step 6: Final answer
    x = 666.18

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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.