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Finding the Fourth Proportional to 1,210.36, 1,814.37 and 479.92

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Solution

The fourth proportional to 1,210.36, 1,814.37 and 479.92 is: 719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.36 : 1,814.37 = 479.92 : x
  2. Step 2: Convert to fraction form
    1,210.36/1,814.37 = 479.92/x
  3. Step 3: Cross multiply
    1,210.36x = 1,814.37 × 479.92
  4. Step 4: Simplify right side
    1,210.36x = 870,752.45
  5. Step 5: Solve for x
    x = 870,752.45/1,210.36
  6. Step 6: Final answer
    x = 719.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.