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Finding the Fourth Proportional to 1,405.05, 2,106.53 and 673.93

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Solution

The fourth proportional to 1,405.05, 2,106.53 and 673.93 is: 1,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.05 : 2,106.53 = 673.93 : x
  2. Step 2: Convert to fraction form
    1,405.05/2,106.53 = 673.93/x
  3. Step 3: Cross multiply
    1,405.05x = 2,106.53 × 673.93
  4. Step 4: Simplify right side
    1,405.05x = 1,419,648.50
  5. Step 5: Solve for x
    x = 1,419,648.50/1,405.05
  6. Step 6: Final answer
    x = 1,010.39

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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.