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Finding the Fourth Proportional to 1,313.63, 1,970.76 and 401.63

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Solution

The fourth proportional to 1,313.63, 1,970.76 and 401.63 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.63 : 1,970.76 = 401.63 : x
  2. Step 2: Convert to fraction form
    1,313.63/1,970.76 = 401.63/x
  3. Step 3: Cross multiply
    1,313.63x = 1,970.76 × 401.63
  4. Step 4: Simplify right side
    1,313.63x = 791,516.34
  5. Step 5: Solve for x
    x = 791,516.34/1,313.63
  6. Step 6: Final answer
    x = 602.54

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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.