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Finding the Fourth Proportional to 1,037.18, 1,556.02 and 379.16

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Solution

The fourth proportional to 1,037.18, 1,556.02 and 379.16 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.18 : 1,556.02 = 379.16 : x
  2. Step 2: Convert to fraction form
    1,037.18/1,556.02 = 379.16/x
  3. Step 3: Cross multiply
    1,037.18x = 1,556.02 × 379.16
  4. Step 4: Simplify right side
    1,037.18x = 589,980.54
  5. Step 5: Solve for x
    x = 589,980.54/1,037.18
  6. Step 6: Final answer
    x = 568.83

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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.