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Finding the Fourth Proportional to 1,705.65, 2,353.68 and 959.73

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Solution

The fourth proportional to 1,705.65, 2,353.68 and 959.73 is: 1,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.65 : 2,353.68 = 959.73 : x
  2. Step 2: Convert to fraction form
    1,705.65/2,353.68 = 959.73/x
  3. Step 3: Cross multiply
    1,705.65x = 2,353.68 × 959.73
  4. Step 4: Simplify right side
    1,705.65x = 2,258,897.31
  5. Step 5: Solve for x
    x = 2,258,897.31/1,705.65
  6. Step 6: Final answer
    x = 1,324.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.