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Finding the Fourth Proportional to 1,142.36, 1,576.46 and 618.39

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Solution

The fourth proportional to 1,142.36, 1,576.46 and 618.39 is: 853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.36 : 1,576.46 = 618.39 : x
  2. Step 2: Convert to fraction form
    1,142.36/1,576.46 = 618.39/x
  3. Step 3: Cross multiply
    1,142.36x = 1,576.46 × 618.39
  4. Step 4: Simplify right side
    1,142.36x = 974,864.01
  5. Step 5: Solve for x
    x = 974,864.01/1,142.36
  6. Step 6: Final answer
    x = 853.38

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1.5x scale

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.