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Finding the Fourth Proportional to 1,365.47, 2,048.51 and 543.72

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Solution

The fourth proportional to 1,365.47, 2,048.51 and 543.72 is: 815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.47 : 2,048.51 = 543.72 : x
  2. Step 2: Convert to fraction form
    1,365.47/2,048.51 = 543.72/x
  3. Step 3: Cross multiply
    1,365.47x = 2,048.51 × 543.72
  4. Step 4: Simplify right side
    1,365.47x = 1,113,816.08
  5. Step 5: Solve for x
    x = 1,113,816.08/1,365.47
  6. Step 6: Final answer
    x = 815.70

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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.