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Finding the Fourth Proportional to 1,048.66, 1,571.50 and 772.58

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Solution

The fourth proportional to 1,048.66, 1,571.50 and 772.58 is: 1,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.66 : 1,571.50 = 772.58 : x
  2. Step 2: Convert to fraction form
    1,048.66/1,571.50 = 772.58/x
  3. Step 3: Cross multiply
    1,048.66x = 1,571.50 × 772.58
  4. Step 4: Simplify right side
    1,048.66x = 1,214,109.47
  5. Step 5: Solve for x
    x = 1,214,109.47/1,048.66
  6. Step 6: Final answer
    x = 1,157.77

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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.