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Finding the Fourth Proportional to 1,448.74, 2,172.70 and 626.93

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Solution

The fourth proportional to 1,448.74, 2,172.70 and 626.93 is: 940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.74 : 2,172.70 = 626.93 : x
  2. Step 2: Convert to fraction form
    1,448.74/2,172.70 = 626.93/x
  3. Step 3: Cross multiply
    1,448.74x = 2,172.70 × 626.93
  4. Step 4: Simplify right side
    1,448.74x = 1,362,130.81
  5. Step 5: Solve for x
    x = 1,362,130.81/1,448.74
  6. Step 6: Final answer
    x = 940.22

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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.