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Finding the Fourth Proportional to 1,706.02, 2,354.31 and 959.98

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Solution

The fourth proportional to 1,706.02, 2,354.31 and 959.98 is: 1,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.02 : 2,354.31 = 959.98 : x
  2. Step 2: Convert to fraction form
    1,706.02/2,354.31 = 959.98/x
  3. Step 3: Cross multiply
    1,706.02x = 2,354.31 × 959.98
  4. Step 4: Simplify right side
    1,706.02x = 2,260,085.71
  5. Step 5: Solve for x
    x = 2,260,085.71/1,706.02
  6. Step 6: Final answer
    x = 1,324.77

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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.