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Finding the Fourth Proportional to 1,269.23, 1,902.97 and 436.07

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Solution

The fourth proportional to 1,269.23, 1,902.97 and 436.07 is: 653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.23 : 1,902.97 = 436.07 : x
  2. Step 2: Convert to fraction form
    1,269.23/1,902.97 = 436.07/x
  3. Step 3: Cross multiply
    1,269.23x = 1,902.97 × 436.07
  4. Step 4: Simplify right side
    1,269.23x = 829,828.13
  5. Step 5: Solve for x
    x = 829,828.13/1,269.23
  6. Step 6: Final answer
    x = 653.80

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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.