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Finding the Fourth Proportional to 1,484.51, 2,228.81 and 754.58

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Solution

The fourth proportional to 1,484.51, 2,228.81 and 754.58 is: 1,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.51 : 2,228.81 = 754.58 : x
  2. Step 2: Convert to fraction form
    1,484.51/2,228.81 = 754.58/x
  3. Step 3: Cross multiply
    1,484.51x = 2,228.81 × 754.58
  4. Step 4: Simplify right side
    1,484.51x = 1,681,817.25
  5. Step 5: Solve for x
    x = 1,681,817.25/1,484.51
  6. Step 6: Final answer
    x = 1,132.91

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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.