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Finding the Fourth Proportional to 922.51, 1,271.82 and 893.85

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Solution

The fourth proportional to 922.51, 1,271.82 and 893.85 is: 1,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.51 : 1,271.82 = 893.85 : x
  2. Step 2: Convert to fraction form
    922.51/1,271.82 = 893.85/x
  3. Step 3: Cross multiply
    922.51x = 1,271.82 × 893.85
  4. Step 4: Simplify right side
    922.51x = 1,136,809.95
  5. Step 5: Solve for x
    x = 1,136,809.95/922.51
  6. Step 6: Final answer
    x = 1,232.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.