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Finding the Fourth Proportional to 1,210.64, 1,816 and 938.48

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Solution

The fourth proportional to 1,210.64, 1,816 and 938.48 is: 1,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.64 : 1,816 = 938.48 : x
  2. Step 2: Convert to fraction form
    1,210.64/1,816 = 938.48/x
  3. Step 3: Cross multiply
    1,210.64x = 1,816 × 938.48
  4. Step 4: Simplify right side
    1,210.64x = 1,704,279.68
  5. Step 5: Solve for x
    x = 1,704,279.68/1,210.64
  6. Step 6: Final answer
    x = 1,407.75

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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.