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Finding the Fourth Proportional to 1,365.70, 2,048.14 and 543.75

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Solution

The fourth proportional to 1,365.70, 2,048.14 and 543.75 is: 815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.70 : 2,048.14 = 543.75 : x
  2. Step 2: Convert to fraction form
    1,365.70/2,048.14 = 543.75/x
  3. Step 3: Cross multiply
    1,365.70x = 2,048.14 × 543.75
  4. Step 4: Simplify right side
    1,365.70x = 1,113,676.13
  5. Step 5: Solve for x
    x = 1,113,676.13/1,365.70
  6. Step 6: Final answer
    x = 815.46

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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.