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Finding the Fourth Proportional to 1,607.54, 2,411.86 and 512.06

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Solution

The fourth proportional to 1,607.54, 2,411.86 and 512.06 is: 768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.54 : 2,411.86 = 512.06 : x
  2. Step 2: Convert to fraction form
    1,607.54/2,411.86 = 512.06/x
  3. Step 3: Cross multiply
    1,607.54x = 2,411.86 × 512.06
  4. Step 4: Simplify right side
    1,607.54x = 1,235,017.03
  5. Step 5: Solve for x
    x = 1,235,017.03/1,607.54
  6. Step 6: Final answer
    x = 768.27

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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.