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Finding the Fourth Proportional to 1,142.18, 1,576.23 and 670.21

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Solution

The fourth proportional to 1,142.18, 1,576.23 and 670.21 is: 924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.18 : 1,576.23 = 670.21 : x
  2. Step 2: Convert to fraction form
    1,142.18/1,576.23 = 670.21/x
  3. Step 3: Cross multiply
    1,142.18x = 1,576.23 × 670.21
  4. Step 4: Simplify right side
    1,142.18x = 1,056,405.11
  5. Step 5: Solve for x
    x = 1,056,405.11/1,142.18
  6. Step 6: Final answer
    x = 924.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.