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Finding the Fourth Proportional to 1,332.46, 1,999.23 and 602.65

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Solution

The fourth proportional to 1,332.46, 1,999.23 and 602.65 is: 904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.46 : 1,999.23 = 602.65 : x
  2. Step 2: Convert to fraction form
    1,332.46/1,999.23 = 602.65/x
  3. Step 3: Cross multiply
    1,332.46x = 1,999.23 × 602.65
  4. Step 4: Simplify right side
    1,332.46x = 1,204,835.96
  5. Step 5: Solve for x
    x = 1,204,835.96/1,332.46
  6. Step 6: Final answer
    x = 904.22

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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.