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Finding the Fourth Proportional to 1,313.22, 1,970.10 and 491.30

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Solution

The fourth proportional to 1,313.22, 1,970.10 and 491.30 is: 737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.22 : 1,970.10 = 491.30 : x
  2. Step 2: Convert to fraction form
    1,313.22/1,970.10 = 491.30/x
  3. Step 3: Cross multiply
    1,313.22x = 1,970.10 × 491.30
  4. Step 4: Simplify right side
    1,313.22x = 967,910.13
  5. Step 5: Solve for x
    x = 967,910.13/1,313.22
  6. Step 6: Final answer
    x = 737.05

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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.