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Finding the Fourth Proportional to 1,448.59, 2,171.52 and 474.01

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Solution

The fourth proportional to 1,448.59, 2,171.52 and 474.01 is: 710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.59 : 2,171.52 = 474.01 : x
  2. Step 2: Convert to fraction form
    1,448.59/2,171.52 = 474.01/x
  3. Step 3: Cross multiply
    1,448.59x = 2,171.52 × 474.01
  4. Step 4: Simplify right side
    1,448.59x = 1,029,322.20
  5. Step 5: Solve for x
    x = 1,029,322.20/1,448.59
  6. Step 6: Final answer
    x = 710.57

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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.