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Finding the Fourth Proportional to 1,313.53, 1,970.10 and 729.13

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Solution

The fourth proportional to 1,313.53, 1,970.10 and 729.13 is: 1,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.53 : 1,970.10 = 729.13 : x
  2. Step 2: Convert to fraction form
    1,313.53/1,970.10 = 729.13/x
  3. Step 3: Cross multiply
    1,313.53x = 1,970.10 × 729.13
  4. Step 4: Simplify right side
    1,313.53x = 1,436,459.01
  5. Step 5: Solve for x
    x = 1,436,459.01/1,313.53
  6. Step 6: Final answer
    x = 1,093.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.