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Finding the Fourth Proportional to 1,313.40, 1,812.60 and 723.99

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Solution

The fourth proportional to 1,313.40, 1,812.60 and 723.99 is: 999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.40 : 1,812.60 = 723.99 : x
  2. Step 2: Convert to fraction form
    1,313.40/1,812.60 = 723.99/x
  3. Step 3: Cross multiply
    1,313.40x = 1,812.60 × 723.99
  4. Step 4: Simplify right side
    1,313.40x = 1,312,304.27
  5. Step 5: Solve for x
    x = 1,312,304.27/1,313.40
  6. Step 6: Final answer
    x = 999.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.