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Finding the Fourth Proportional to 1,365.24, 2,048.47 and 543.60

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Solution

The fourth proportional to 1,365.24, 2,048.47 and 543.60 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.24 : 2,048.47 = 543.60 : x
  2. Step 2: Convert to fraction form
    1,365.24/2,048.47 = 543.60/x
  3. Step 3: Cross multiply
    1,365.24x = 2,048.47 × 543.60
  4. Step 4: Simplify right side
    1,365.24x = 1,113,548.29
  5. Step 5: Solve for x
    x = 1,113,548.29/1,365.24
  6. Step 6: Final answer
    x = 815.64

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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.