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Finding the Fourth Proportional to 973.26, 1,453.05 and 855.69

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Solution

The fourth proportional to 973.26, 1,453.05 and 855.69 is: 1,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.26 : 1,453.05 = 855.69 : x
  2. Step 2: Convert to fraction form
    973.26/1,453.05 = 855.69/x
  3. Step 3: Cross multiply
    973.26x = 1,453.05 × 855.69
  4. Step 4: Simplify right side
    973.26x = 1,243,360.35
  5. Step 5: Solve for x
    x = 1,243,360.35/973.26
  6. Step 6: Final answer
    x = 1,277.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.