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Finding the Fourth Proportional to 1,037.64, 1,556.78 and 379.50

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Solution

The fourth proportional to 1,037.64, 1,556.78 and 379.50 is: 569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.64 : 1,556.78 = 379.50 : x
  2. Step 2: Convert to fraction form
    1,037.64/1,556.78 = 379.50/x
  3. Step 3: Cross multiply
    1,037.64x = 1,556.78 × 379.50
  4. Step 4: Simplify right side
    1,037.64x = 590,796.11
  5. Step 5: Solve for x
    x = 590,796.11/1,037.64
  6. Step 6: Final answer
    x = 569.37

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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.