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Finding the Fourth Proportional to 1,142.64, 1,576.85 and 618.67

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Solution

The fourth proportional to 1,142.64, 1,576.85 and 618.67 is: 853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,576.85 = 618.67 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,576.85 = 618.67/x
  3. Step 3: Cross multiply
    1,142.64x = 1,576.85 × 618.67
  4. Step 4: Simplify right side
    1,142.64x = 975,548.67
  5. Step 5: Solve for x
    x = 975,548.67/1,142.64
  6. Step 6: Final answer
    x = 853.77

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Why These Related Problems?

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