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Finding the Fourth Proportional to 1,037.27, 1,555.61 and 412.28

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Solution

The fourth proportional to 1,037.27, 1,555.61 and 412.28 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.27 : 1,555.61 = 412.28 : x
  2. Step 2: Convert to fraction form
    1,037.27/1,555.61 = 412.28/x
  3. Step 3: Cross multiply
    1,037.27x = 1,555.61 × 412.28
  4. Step 4: Simplify right side
    1,037.27x = 641,349.23
  5. Step 5: Solve for x
    x = 641,349.23/1,037.27
  6. Step 6: Final answer
    x = 618.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.