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Finding the Fourth Proportional to 703.02, 1,054.68 and 216.05

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Solution

The fourth proportional to 703.02, 1,054.68 and 216.05 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 1,054.68 = 216.05 : x
  2. Step 2: Convert to fraction form
    703.02/1,054.68 = 216.05/x
  3. Step 3: Cross multiply
    703.02x = 1,054.68 × 216.05
  4. Step 4: Simplify right side
    703.02x = 227,866.25
  5. Step 5: Solve for x
    x = 227,866.25/703.02
  6. Step 6: Final answer
    x = 324.12

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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.