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Finding the Fourth Proportional to 1,383.95, 2,076.99 and 507.28

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Solution

The fourth proportional to 1,383.95, 2,076.99 and 507.28 is: 761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.95 : 2,076.99 = 507.28 : x
  2. Step 2: Convert to fraction form
    1,383.95/2,076.99 = 507.28/x
  3. Step 3: Cross multiply
    1,383.95x = 2,076.99 × 507.28
  4. Step 4: Simplify right side
    1,383.95x = 1,053,616.31
  5. Step 5: Solve for x
    x = 1,053,616.31/1,383.95
  6. Step 6: Final answer
    x = 761.31

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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.