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Finding the Fourth Proportional to 1,048.41, 1,571.67 and 528.12

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Solution

The fourth proportional to 1,048.41, 1,571.67 and 528.12 is: 791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.41 : 1,571.67 = 528.12 : x
  2. Step 2: Convert to fraction form
    1,048.41/1,571.67 = 528.12/x
  3. Step 3: Cross multiply
    1,048.41x = 1,571.67 × 528.12
  4. Step 4: Simplify right side
    1,048.41x = 830,030.36
  5. Step 5: Solve for x
    x = 830,030.36/1,048.41
  6. Step 6: Final answer
    x = 791.70

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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.