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Finding the Fourth Proportional to 1,703.80, 2,555.75 and 471.30

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Solution

The fourth proportional to 1,703.80, 2,555.75 and 471.30 is: 706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.80 : 2,555.75 = 471.30 : x
  2. Step 2: Convert to fraction form
    1,703.80/2,555.75 = 471.30/x
  3. Step 3: Cross multiply
    1,703.80x = 2,555.75 × 471.30
  4. Step 4: Simplify right side
    1,703.80x = 1,204,514.63
  5. Step 5: Solve for x
    x = 1,204,514.63/1,703.80
  6. Step 6: Final answer
    x = 706.96

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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.