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Finding the Fourth Proportional to 1,473.75, 2,210.76 and 704.25

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Solution

The fourth proportional to 1,473.75, 2,210.76 and 704.25 is: 1,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.75 : 2,210.76 = 704.25 : x
  2. Step 2: Convert to fraction form
    1,473.75/2,210.76 = 704.25/x
  3. Step 3: Cross multiply
    1,473.75x = 2,210.76 × 704.25
  4. Step 4: Simplify right side
    1,473.75x = 1,556,927.73
  5. Step 5: Solve for x
    x = 1,556,927.73/1,473.75
  6. Step 6: Final answer
    x = 1,056.44

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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.