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Finding the Fourth Proportional to 1,299, 1,942.57 and 970.16

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Solution

The fourth proportional to 1,299, 1,942.57 and 970.16 is: 1,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299 : 1,942.57 = 970.16 : x
  2. Step 2: Convert to fraction form
    1,299/1,942.57 = 970.16/x
  3. Step 3: Cross multiply
    1,299x = 1,942.57 × 970.16
  4. Step 4: Simplify right side
    1,299x = 1,884,603.71
  5. Step 5: Solve for x
    x = 1,884,603.71/1,299
  6. Step 6: Final answer
    x = 1,450.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.