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Finding the Fourth Proportional to 1,448.34, 2,172.57 and 474.42

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Solution

The fourth proportional to 1,448.34, 2,172.57 and 474.42 is: 711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.34 : 2,172.57 = 474.42 : x
  2. Step 2: Convert to fraction form
    1,448.34/2,172.57 = 474.42/x
  3. Step 3: Cross multiply
    1,448.34x = 2,172.57 × 474.42
  4. Step 4: Simplify right side
    1,448.34x = 1,030,710.66
  5. Step 5: Solve for x
    x = 1,030,710.66/1,448.34
  6. Step 6: Final answer
    x = 711.65

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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.