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Finding the Fourth Proportional to 1,244.25, 1,866.37 and 970.54

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Solution

The fourth proportional to 1,244.25, 1,866.37 and 970.54 is: 1,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.25 : 1,866.37 = 970.54 : x
  2. Step 2: Convert to fraction form
    1,244.25/1,866.37 = 970.54/x
  3. Step 3: Cross multiply
    1,244.25x = 1,866.37 × 970.54
  4. Step 4: Simplify right side
    1,244.25x = 1,811,386.74
  5. Step 5: Solve for x
    x = 1,811,386.74/1,244.25
  6. Step 6: Final answer
    x = 1,455.81

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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.