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Finding the Fourth Proportional to 1,003.86, 1,506.33 and 957.42

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Solution

The fourth proportional to 1,003.86, 1,506.33 and 957.42 is: 1,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.86 : 1,506.33 = 957.42 : x
  2. Step 2: Convert to fraction form
    1,003.86/1,506.33 = 957.42/x
  3. Step 3: Cross multiply
    1,003.86x = 1,506.33 × 957.42
  4. Step 4: Simplify right side
    1,003.86x = 1,442,190.47
  5. Step 5: Solve for x
    x = 1,442,190.47/1,003.86
  6. Step 6: Final answer
    x = 1,436.65

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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.