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Finding the Fourth Proportional to 1,047.09, 1,570.60 and 277.59

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Solution

The fourth proportional to 1,047.09, 1,570.60 and 277.59 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.09 : 1,570.60 = 277.59 : x
  2. Step 2: Convert to fraction form
    1,047.09/1,570.60 = 277.59/x
  3. Step 3: Cross multiply
    1,047.09x = 1,570.60 × 277.59
  4. Step 4: Simplify right side
    1,047.09x = 435,982.85
  5. Step 5: Solve for x
    x = 435,982.85/1,047.09
  6. Step 6: Final answer
    x = 416.38

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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.