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Finding the Fourth Proportional to 1,705.71, 2,353.71 and 959.65

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Solution

The fourth proportional to 1,705.71, 2,353.71 and 959.65 is: 1,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.71 : 2,353.71 = 959.65 : x
  2. Step 2: Convert to fraction form
    1,705.71/2,353.71 = 959.65/x
  3. Step 3: Cross multiply
    1,705.71x = 2,353.71 × 959.65
  4. Step 4: Simplify right side
    1,705.71x = 2,258,731.86
  5. Step 5: Solve for x
    x = 2,258,731.86/1,705.71
  6. Step 6: Final answer
    x = 1,324.22

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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.