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Finding the Fourth Proportional to 1,309.96, 1,964.76 and 336.07

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Solution

The fourth proportional to 1,309.96, 1,964.76 and 336.07 is: 504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.96 : 1,964.76 = 336.07 : x
  2. Step 2: Convert to fraction form
    1,309.96/1,964.76 = 336.07/x
  3. Step 3: Cross multiply
    1,309.96x = 1,964.76 × 336.07
  4. Step 4: Simplify right side
    1,309.96x = 660,296.89
  5. Step 5: Solve for x
    x = 660,296.89/1,309.96
  6. Step 6: Final answer
    x = 504.06

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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.