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Finding the Fourth Proportional to 1,051.30, 1,576.54 and 401.68

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Solution

The fourth proportional to 1,051.30, 1,576.54 and 401.68 is: 602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.30 : 1,576.54 = 401.68 : x
  2. Step 2: Convert to fraction form
    1,051.30/1,576.54 = 401.68/x
  3. Step 3: Cross multiply
    1,051.30x = 1,576.54 × 401.68
  4. Step 4: Simplify right side
    1,051.30x = 633,264.59
  5. Step 5: Solve for x
    x = 633,264.59/1,051.30
  6. Step 6: Final answer
    x = 602.36

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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.