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Finding the Fourth Proportional to 1,078.83, 1,617.90 and 462.37

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Solution

The fourth proportional to 1,078.83, 1,617.90 and 462.37 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.83 : 1,617.90 = 462.37 : x
  2. Step 2: Convert to fraction form
    1,078.83/1,617.90 = 462.37/x
  3. Step 3: Cross multiply
    1,078.83x = 1,617.90 × 462.37
  4. Step 4: Simplify right side
    1,078.83x = 748,068.42
  5. Step 5: Solve for x
    x = 748,068.42/1,078.83
  6. Step 6: Final answer
    x = 693.41

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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.