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Finding the Fourth Proportional to 1,703.77, 2,554.63 and 533.45

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Solution

The fourth proportional to 1,703.77, 2,554.63 and 533.45 is: 799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.77 : 2,554.63 = 533.45 : x
  2. Step 2: Convert to fraction form
    1,703.77/2,554.63 = 533.45/x
  3. Step 3: Cross multiply
    1,703.77x = 2,554.63 × 533.45
  4. Step 4: Simplify right side
    1,703.77x = 1,362,767.37
  5. Step 5: Solve for x
    x = 1,362,767.37/1,703.77
  6. Step 6: Final answer
    x = 799.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.