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Finding the Fourth Proportional to 1,313.64, 1,812.83 and 724.17

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Solution

The fourth proportional to 1,313.64, 1,812.83 and 724.17 is: 999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.64 : 1,812.83 = 724.17 : x
  2. Step 2: Convert to fraction form
    1,313.64/1,812.83 = 724.17/x
  3. Step 3: Cross multiply
    1,313.64x = 1,812.83 × 724.17
  4. Step 4: Simplify right side
    1,313.64x = 1,312,797.10
  5. Step 5: Solve for x
    x = 1,312,797.10/1,313.64
  6. Step 6: Final answer
    x = 999.36

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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.