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Finding the Fourth Proportional to 1,114.90, 1,537.56 and 893.80

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Solution

The fourth proportional to 1,114.90, 1,537.56 and 893.80 is: 1,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.90 : 1,537.56 = 893.80 : x
  2. Step 2: Convert to fraction form
    1,114.90/1,537.56 = 893.80/x
  3. Step 3: Cross multiply
    1,114.90x = 1,537.56 × 893.80
  4. Step 4: Simplify right side
    1,114.90x = 1,374,271.13
  5. Step 5: Solve for x
    x = 1,374,271.13/1,114.90
  6. Step 6: Final answer
    x = 1,232.64

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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.