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Finding the Fourth Proportional to 1,065.36, 1,598.19 and 335.00

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Solution

The fourth proportional to 1,065.36, 1,598.19 and 335.00 is: 502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.36 : 1,598.19 = 335.00 : x
  2. Step 2: Convert to fraction form
    1,065.36/1,598.19 = 335.00/x
  3. Step 3: Cross multiply
    1,065.36x = 1,598.19 × 335.00
  4. Step 4: Simplify right side
    1,065.36x = 535,385.66
  5. Step 5: Solve for x
    x = 535,385.66/1,065.36
  6. Step 6: Final answer
    x = 502.54

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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.