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Finding the Fourth Proportional to 1,155.72, 1,726.35 and 828.48

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Solution

The fourth proportional to 1,155.72, 1,726.35 and 828.48 is: 1,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.72 : 1,726.35 = 828.48 : x
  2. Step 2: Convert to fraction form
    1,155.72/1,726.35 = 828.48/x
  3. Step 3: Cross multiply
    1,155.72x = 1,726.35 × 828.48
  4. Step 4: Simplify right side
    1,155.72x = 1,430,246.45
  5. Step 5: Solve for x
    x = 1,430,246.45/1,155.72
  6. Step 6: Final answer
    x = 1,237.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.