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Finding the Fourth Proportional to 1,470.26, 2,205.04 and 430.04

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Solution

The fourth proportional to 1,470.26, 2,205.04 and 430.04 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.26 : 2,205.04 = 430.04 : x
  2. Step 2: Convert to fraction form
    1,470.26/2,205.04 = 430.04/x
  3. Step 3: Cross multiply
    1,470.26x = 2,205.04 × 430.04
  4. Step 4: Simplify right side
    1,470.26x = 948,255.40
  5. Step 5: Solve for x
    x = 948,255.40/1,470.26
  6. Step 6: Final answer
    x = 644.96

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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.