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Finding the Fourth Proportional to 1,114.64, 1,537.10 and 735.86

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Solution

The fourth proportional to 1,114.64, 1,537.10 and 735.86 is: 1,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,537.10 = 735.86 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,537.10 = 735.86/x
  3. Step 3: Cross multiply
    1,114.64x = 1,537.10 × 735.86
  4. Step 4: Simplify right side
    1,114.64x = 1,131,090.41
  5. Step 5: Solve for x
    x = 1,131,090.41/1,114.64
  6. Step 6: Final answer
    x = 1,014.76

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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.