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Finding the Fourth Proportional to 1,318.19, 1,976.19 and 496.01

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Solution

The fourth proportional to 1,318.19, 1,976.19 and 496.01 is: 743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.19 : 1,976.19 = 496.01 : x
  2. Step 2: Convert to fraction form
    1,318.19/1,976.19 = 496.01/x
  3. Step 3: Cross multiply
    1,318.19x = 1,976.19 × 496.01
  4. Step 4: Simplify right side
    1,318.19x = 980,210.00
  5. Step 5: Solve for x
    x = 980,210.00/1,318.19
  6. Step 6: Final answer
    x = 743.60

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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.