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Finding the Fourth Proportional to 1,057.09, 1,573.49 and 1,041.50

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Solution

The fourth proportional to 1,057.09, 1,573.49 and 1,041.50 is: 1,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.09 : 1,573.49 = 1,041.50 : x
  2. Step 2: Convert to fraction form
    1,057.09/1,573.49 = 1,041.50/x
  3. Step 3: Cross multiply
    1,057.09x = 1,573.49 × 1,041.50
  4. Step 4: Simplify right side
    1,057.09x = 1,638,789.84
  5. Step 5: Solve for x
    x = 1,638,789.84/1,057.09
  6. Step 6: Final answer
    x = 1,550.28

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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.