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Finding the Fourth Proportional to 1,470.12, 2,203.20 and 603.96

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Solution

The fourth proportional to 1,470.12, 2,203.20 and 603.96 is: 905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.12 : 2,203.20 = 603.96 : x
  2. Step 2: Convert to fraction form
    1,470.12/2,203.20 = 603.96/x
  3. Step 3: Cross multiply
    1,470.12x = 2,203.20 × 603.96
  4. Step 4: Simplify right side
    1,470.12x = 1,330,644.67
  5. Step 5: Solve for x
    x = 1,330,644.67/1,470.12
  6. Step 6: Final answer
    x = 905.13

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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.