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Finding the Fourth Proportional to 1,703.34, 2,554.98 and 470.70

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Solution

The fourth proportional to 1,703.34, 2,554.98 and 470.70 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.34 : 2,554.98 = 470.70 : x
  2. Step 2: Convert to fraction form
    1,703.34/2,554.98 = 470.70/x
  3. Step 3: Cross multiply
    1,703.34x = 2,554.98 × 470.70
  4. Step 4: Simplify right side
    1,703.34x = 1,202,629.09
  5. Step 5: Solve for x
    x = 1,202,629.09/1,703.34
  6. Step 6: Final answer
    x = 706.04

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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.