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Finding the Fourth Proportional to 1,210.16, 1,814.56 and 388.24

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Solution

The fourth proportional to 1,210.16, 1,814.56 and 388.24 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.16 : 1,814.56 = 388.24 : x
  2. Step 2: Convert to fraction form
    1,210.16/1,814.56 = 388.24/x
  3. Step 3: Cross multiply
    1,210.16x = 1,814.56 × 388.24
  4. Step 4: Simplify right side
    1,210.16x = 704,484.77
  5. Step 5: Solve for x
    x = 704,484.77/1,210.16
  6. Step 6: Final answer
    x = 582.14

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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.