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Finding the Fourth Proportional to 1,706.90, 2,355.50 and 950.68

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Solution

The fourth proportional to 1,706.90, 2,355.50 and 950.68 is: 1,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.90 : 2,355.50 = 950.68 : x
  2. Step 2: Convert to fraction form
    1,706.90/2,355.50 = 950.68/x
  3. Step 3: Cross multiply
    1,706.90x = 2,355.50 × 950.68
  4. Step 4: Simplify right side
    1,706.90x = 2,239,326.74
  5. Step 5: Solve for x
    x = 2,239,326.74/1,706.90
  6. Step 6: Final answer
    x = 1,311.93

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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.