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Finding the Fourth Proportional to 1,097.73, 1,648.13 and 685.67

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Solution

The fourth proportional to 1,097.73, 1,648.13 and 685.67 is: 1,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.73 : 1,648.13 = 685.67 : x
  2. Step 2: Convert to fraction form
    1,097.73/1,648.13 = 685.67/x
  3. Step 3: Cross multiply
    1,097.73x = 1,648.13 × 685.67
  4. Step 4: Simplify right side
    1,097.73x = 1,130,061.63
  5. Step 5: Solve for x
    x = 1,130,061.63/1,097.73
  6. Step 6: Final answer
    x = 1,029.45

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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.