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Finding the Fourth Proportional to 1,431.76, 2,147.75 and 444.45

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Solution

The fourth proportional to 1,431.76, 2,147.75 and 444.45 is: 666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.76 : 2,147.75 = 444.45 : x
  2. Step 2: Convert to fraction form
    1,431.76/2,147.75 = 444.45/x
  3. Step 3: Cross multiply
    1,431.76x = 2,147.75 × 444.45
  4. Step 4: Simplify right side
    1,431.76x = 954,554.53
  5. Step 5: Solve for x
    x = 954,554.53/1,431.76
  6. Step 6: Final answer
    x = 666.70

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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.