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Finding the Fourth Proportional to 1,313.66, 1,970.69 and 492.05

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Solution

The fourth proportional to 1,313.66, 1,970.69 and 492.05 is: 738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.66 : 1,970.69 = 492.05 : x
  2. Step 2: Convert to fraction form
    1,313.66/1,970.69 = 492.05/x
  3. Step 3: Cross multiply
    1,313.66x = 1,970.69 × 492.05
  4. Step 4: Simplify right side
    1,313.66x = 969,668.16
  5. Step 5: Solve for x
    x = 969,668.16/1,313.66
  6. Step 6: Final answer
    x = 738.15

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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.