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Finding the Fourth Proportional to 1,044.06, 1,564.74 and 673.74

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Solution

The fourth proportional to 1,044.06, 1,564.74 and 673.74 is: 1,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.06 : 1,564.74 = 673.74 : x
  2. Step 2: Convert to fraction form
    1,044.06/1,564.74 = 673.74/x
  3. Step 3: Cross multiply
    1,044.06x = 1,564.74 × 673.74
  4. Step 4: Simplify right side
    1,044.06x = 1,054,227.93
  5. Step 5: Solve for x
    x = 1,054,227.93/1,044.06
  6. Step 6: Final answer
    x = 1,009.74

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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.