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Finding the Fourth Proportional to 1,491.63, 2,235.99 and 711.42

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Solution

The fourth proportional to 1,491.63, 2,235.99 and 711.42 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.63 : 2,235.99 = 711.42 : x
  2. Step 2: Convert to fraction form
    1,491.63/2,235.99 = 711.42/x
  3. Step 3: Cross multiply
    1,491.63x = 2,235.99 × 711.42
  4. Step 4: Simplify right side
    1,491.63x = 1,590,728.01
  5. Step 5: Solve for x
    x = 1,590,728.01/1,491.63
  6. Step 6: Final answer
    x = 1,066.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.