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Finding the Fourth Proportional to 1,094.75, 1,502.54 and 1,000.89

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Solution

The fourth proportional to 1,094.75, 1,502.54 and 1,000.89 is: 1,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.75 : 1,502.54 = 1,000.89 : x
  2. Step 2: Convert to fraction form
    1,094.75/1,502.54 = 1,000.89/x
  3. Step 3: Cross multiply
    1,094.75x = 1,502.54 × 1,000.89
  4. Step 4: Simplify right side
    1,094.75x = 1,503,872.26
  5. Step 5: Solve for x
    x = 1,503,872.26/1,094.75
  6. Step 6: Final answer
    x = 1,373.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.