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Finding the Fourth Proportional to 1,313.64, 1,812.96 and 724.32

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Solution

The fourth proportional to 1,313.64, 1,812.96 and 724.32 is: 999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.64 : 1,812.96 = 724.32 : x
  2. Step 2: Convert to fraction form
    1,313.64/1,812.96 = 724.32/x
  3. Step 3: Cross multiply
    1,313.64x = 1,812.96 × 724.32
  4. Step 4: Simplify right side
    1,313.64x = 1,313,163.19
  5. Step 5: Solve for x
    x = 1,313,163.19/1,313.64
  6. Step 6: Final answer
    x = 999.64

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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.