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Finding the Fourth Proportional to 1,018.36, 1,525.83 and 498.61

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Solution

The fourth proportional to 1,018.36, 1,525.83 and 498.61 is: 747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.36 : 1,525.83 = 498.61 : x
  2. Step 2: Convert to fraction form
    1,018.36/1,525.83 = 498.61/x
  3. Step 3: Cross multiply
    1,018.36x = 1,525.83 × 498.61
  4. Step 4: Simplify right side
    1,018.36x = 760,794.10
  5. Step 5: Solve for x
    x = 760,794.10/1,018.36
  6. Step 6: Final answer
    x = 747.08

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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.