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Finding the Fourth Proportional to 1,703.22, 2,554.77 and 533.32

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Solution

The fourth proportional to 1,703.22, 2,554.77 and 533.32 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.22 : 2,554.77 = 533.32 : x
  2. Step 2: Convert to fraction form
    1,703.22/2,554.77 = 533.32/x
  3. Step 3: Cross multiply
    1,703.22x = 2,554.77 × 533.32
  4. Step 4: Simplify right side
    1,703.22x = 1,362,509.94
  5. Step 5: Solve for x
    x = 1,362,509.94/1,703.22
  6. Step 6: Final answer
    x = 799.96

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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.