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Finding the Fourth Proportional to 1,018.36, 1,405.06 and 619.88

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Solution

The fourth proportional to 1,018.36, 1,405.06 and 619.88 is: 855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.36 : 1,405.06 = 619.88 : x
  2. Step 2: Convert to fraction form
    1,018.36/1,405.06 = 619.88/x
  3. Step 3: Cross multiply
    1,018.36x = 1,405.06 × 619.88
  4. Step 4: Simplify right side
    1,018.36x = 870,968.59
  5. Step 5: Solve for x
    x = 870,968.59/1,018.36
  6. Step 6: Final answer
    x = 855.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.