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Finding the Fourth Proportional to 1,313.32, 1,812.26 and 964.20

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Solution

The fourth proportional to 1,313.32, 1,812.26 and 964.20 is: 1,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.32 : 1,812.26 = 964.20 : x
  2. Step 2: Convert to fraction form
    1,313.32/1,812.26 = 964.20/x
  3. Step 3: Cross multiply
    1,313.32x = 1,812.26 × 964.20
  4. Step 4: Simplify right side
    1,313.32x = 1,747,381.09
  5. Step 5: Solve for x
    x = 1,747,381.09/1,313.32
  6. Step 6: Final answer
    x = 1,330.51

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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.