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Finding the Fourth Proportional to 1,313.16, 1,812.30 and 753.76

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Solution

The fourth proportional to 1,313.16, 1,812.30 and 753.76 is: 1,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.16 : 1,812.30 = 753.76 : x
  2. Step 2: Convert to fraction form
    1,313.16/1,812.30 = 753.76/x
  3. Step 3: Cross multiply
    1,313.16x = 1,812.30 × 753.76
  4. Step 4: Simplify right side
    1,313.16x = 1,366,039.25
  5. Step 5: Solve for x
    x = 1,366,039.25/1,313.16
  6. Step 6: Final answer
    x = 1,040.27

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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.