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Finding the Fourth Proportional to 1,404.49, 2,106.56 and 364.42

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Solution

The fourth proportional to 1,404.49, 2,106.56 and 364.42 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.49 : 2,106.56 = 364.42 : x
  2. Step 2: Convert to fraction form
    1,404.49/2,106.56 = 364.42/x
  3. Step 3: Cross multiply
    1,404.49x = 2,106.56 × 364.42
  4. Step 4: Simplify right side
    1,404.49x = 767,680.01
  5. Step 5: Solve for x
    x = 767,680.01/1,404.49
  6. Step 6: Final answer
    x = 546.59

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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.