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Finding the Fourth Proportional to 1,703, 2,554.50 and 470.42

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Solution

The fourth proportional to 1,703, 2,554.50 and 470.42 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703 : 2,554.50 = 470.42 : x
  2. Step 2: Convert to fraction form
    1,703/2,554.50 = 470.42/x
  3. Step 3: Cross multiply
    1,703x = 2,554.50 × 470.42
  4. Step 4: Simplify right side
    1,703x = 1,201,687.89
  5. Step 5: Solve for x
    x = 1,201,687.89/1,703
  6. Step 6: Final answer
    x = 705.63

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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.