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Finding the Fourth Proportional to 1,288.04, 1,930.77 and 507.54

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Solution

The fourth proportional to 1,288.04, 1,930.77 and 507.54 is: 760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.04 : 1,930.77 = 507.54 : x
  2. Step 2: Convert to fraction form
    1,288.04/1,930.77 = 507.54/x
  3. Step 3: Cross multiply
    1,288.04x = 1,930.77 × 507.54
  4. Step 4: Simplify right side
    1,288.04x = 979,943.01
  5. Step 5: Solve for x
    x = 979,943.01/1,288.04
  6. Step 6: Final answer
    x = 760.80

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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.