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Finding the Fourth Proportional to 1,299.31, 1,948.93 and 477.23

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Solution

The fourth proportional to 1,299.31, 1,948.93 and 477.23 is: 715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.31 : 1,948.93 = 477.23 : x
  2. Step 2: Convert to fraction form
    1,299.31/1,948.93 = 477.23/x
  3. Step 3: Cross multiply
    1,299.31x = 1,948.93 × 477.23
  4. Step 4: Simplify right side
    1,299.31x = 930,076.93
  5. Step 5: Solve for x
    x = 930,076.93/1,299.31
  6. Step 6: Final answer
    x = 715.83

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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.