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Finding the Fourth Proportional to 1,284.74, 1,926.77 and 504.77

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Solution

The fourth proportional to 1,284.74, 1,926.77 and 504.77 is: 757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.74 : 1,926.77 = 504.77 : x
  2. Step 2: Convert to fraction form
    1,284.74/1,926.77 = 504.77/x
  3. Step 3: Cross multiply
    1,284.74x = 1,926.77 × 504.77
  4. Step 4: Simplify right side
    1,284.74x = 972,566.06
  5. Step 5: Solve for x
    x = 972,566.06/1,284.74
  6. Step 6: Final answer
    x = 757.02

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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.