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Finding the Fourth Proportional to 1,068.50, 1,594.36 and 959.42

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Solution

The fourth proportional to 1,068.50, 1,594.36 and 959.42 is: 1,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.50 : 1,594.36 = 959.42 : x
  2. Step 2: Convert to fraction form
    1,068.50/1,594.36 = 959.42/x
  3. Step 3: Cross multiply
    1,068.50x = 1,594.36 × 959.42
  4. Step 4: Simplify right side
    1,068.50x = 1,529,660.87
  5. Step 5: Solve for x
    x = 1,529,660.87/1,068.50
  6. Step 6: Final answer
    x = 1,431.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.