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Finding the Fourth Proportional to 1,037.90, 1,556.86 and 854.56

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Solution

The fourth proportional to 1,037.90, 1,556.86 and 854.56 is: 1,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.90 : 1,556.86 = 854.56 : x
  2. Step 2: Convert to fraction form
    1,037.90/1,556.86 = 854.56/x
  3. Step 3: Cross multiply
    1,037.90x = 1,556.86 × 854.56
  4. Step 4: Simplify right side
    1,037.90x = 1,330,430.28
  5. Step 5: Solve for x
    x = 1,330,430.28/1,037.90
  6. Step 6: Final answer
    x = 1,281.85

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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.