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Finding the Fourth Proportional to 1,313.71, 1,969.50 and 491.86

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Solution

The fourth proportional to 1,313.71, 1,969.50 and 491.86 is: 737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.71 : 1,969.50 = 491.86 : x
  2. Step 2: Convert to fraction form
    1,313.71/1,969.50 = 491.86/x
  3. Step 3: Cross multiply
    1,313.71x = 1,969.50 × 491.86
  4. Step 4: Simplify right side
    1,313.71x = 968,718.27
  5. Step 5: Solve for x
    x = 968,718.27/1,313.71
  6. Step 6: Final answer
    x = 737.39

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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.