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Finding the Fourth Proportional to 1,335.15, 2,001.19 and 513.00

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Solution

The fourth proportional to 1,335.15, 2,001.19 and 513.00 is: 768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.15 : 2,001.19 = 513.00 : x
  2. Step 2: Convert to fraction form
    1,335.15/2,001.19 = 513.00/x
  3. Step 3: Cross multiply
    1,335.15x = 2,001.19 × 513.00
  4. Step 4: Simplify right side
    1,335.15x = 1,026,599.18
  5. Step 5: Solve for x
    x = 1,026,599.18/1,335.15
  6. Step 6: Final answer
    x = 768.90

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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.