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Finding the Fourth Proportional to 1,156.78, 1,733.74 and 1,027.01

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Solution

The fourth proportional to 1,156.78, 1,733.74 and 1,027.01 is: 1,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.78 : 1,733.74 = 1,027.01 : x
  2. Step 2: Convert to fraction form
    1,156.78/1,733.74 = 1,027.01/x
  3. Step 3: Cross multiply
    1,156.78x = 1,733.74 × 1,027.01
  4. Step 4: Simplify right side
    1,156.78x = 1,780,570.08
  5. Step 5: Solve for x
    x = 1,780,570.08/1,156.78
  6. Step 6: Final answer
    x = 1,539.25

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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.