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Finding the Fourth Proportional to 1,405.83, 2,108.40 and 418.45

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Solution

The fourth proportional to 1,405.83, 2,108.40 and 418.45 is: 627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.83 : 2,108.40 = 418.45 : x
  2. Step 2: Convert to fraction form
    1,405.83/2,108.40 = 418.45/x
  3. Step 3: Cross multiply
    1,405.83x = 2,108.40 × 418.45
  4. Step 4: Simplify right side
    1,405.83x = 882,259.98
  5. Step 5: Solve for x
    x = 882,259.98/1,405.83
  6. Step 6: Final answer
    x = 627.57

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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.