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Finding the Fourth Proportional to 1,703.04, 2,554 and 548.52

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Solution

The fourth proportional to 1,703.04, 2,554 and 548.52 is: 822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.04 : 2,554 = 548.52 : x
  2. Step 2: Convert to fraction form
    1,703.04/2,554 = 548.52/x
  3. Step 3: Cross multiply
    1,703.04x = 2,554 × 548.52
  4. Step 4: Simplify right side
    1,703.04x = 1,400,920.08
  5. Step 5: Solve for x
    x = 1,400,920.08/1,703.04
  6. Step 6: Final answer
    x = 822.60

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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.