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Finding the Fourth Proportional to 1,358.42, 1,874.53 and 768.99

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Solution

The fourth proportional to 1,358.42, 1,874.53 and 768.99 is: 1,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.42 : 1,874.53 = 768.99 : x
  2. Step 2: Convert to fraction form
    1,358.42/1,874.53 = 768.99/x
  3. Step 3: Cross multiply
    1,358.42x = 1,874.53 × 768.99
  4. Step 4: Simplify right side
    1,358.42x = 1,441,490.98
  5. Step 5: Solve for x
    x = 1,441,490.98/1,358.42
  6. Step 6: Final answer
    x = 1,061.16

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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.