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Finding the Fourth Proportional to 1,156.00, 1,733.74 and 334.09

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Solution

The fourth proportional to 1,156.00, 1,733.74 and 334.09 is: 501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.00 : 1,733.74 = 334.09 : x
  2. Step 2: Convert to fraction form
    1,156.00/1,733.74 = 334.09/x
  3. Step 3: Cross multiply
    1,156.00x = 1,733.74 × 334.09
  4. Step 4: Simplify right side
    1,156.00x = 579,220.03
  5. Step 5: Solve for x
    x = 579,220.03/1,156.00
  6. Step 6: Final answer
    x = 501.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.