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Finding the Fourth Proportional to 1,000.84, 1,381.26 and 575.62

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Solution

The fourth proportional to 1,000.84, 1,381.26 and 575.62 is: 794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.84 : 1,381.26 = 575.62 : x
  2. Step 2: Convert to fraction form
    1,000.84/1,381.26 = 575.62/x
  3. Step 3: Cross multiply
    1,000.84x = 1,381.26 × 575.62
  4. Step 4: Simplify right side
    1,000.84x = 795,080.88
  5. Step 5: Solve for x
    x = 795,080.88/1,000.84
  6. Step 6: Final answer
    x = 794.41

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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.