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Finding the Fourth Proportional to 1,607.70, 2,411.94 and 512.07

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Solution

The fourth proportional to 1,607.70, 2,411.94 and 512.07 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.70 : 2,411.94 = 512.07 : x
  2. Step 2: Convert to fraction form
    1,607.70/2,411.94 = 512.07/x
  3. Step 3: Cross multiply
    1,607.70x = 2,411.94 × 512.07
  4. Step 4: Simplify right side
    1,607.70x = 1,235,068.14
  5. Step 5: Solve for x
    x = 1,235,068.14/1,607.70
  6. Step 6: Final answer
    x = 768.22

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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.