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Finding the Fourth Proportional to 1,313.04, 1,970.88 and 664.32

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Solution

The fourth proportional to 1,313.04, 1,970.88 and 664.32 is: 997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.04 : 1,970.88 = 664.32 : x
  2. Step 2: Convert to fraction form
    1,313.04/1,970.88 = 664.32/x
  3. Step 3: Cross multiply
    1,313.04x = 1,970.88 × 664.32
  4. Step 4: Simplify right side
    1,313.04x = 1,309,295.00
  5. Step 5: Solve for x
    x = 1,309,295.00/1,313.04
  6. Step 6: Final answer
    x = 997.15

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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.