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Finding the Fourth Proportional to 1,000.85, 1,381.10 and 581.27

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Solution

The fourth proportional to 1,000.85, 1,381.10 and 581.27 is: 802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.85 : 1,381.10 = 581.27 : x
  2. Step 2: Convert to fraction form
    1,000.85/1,381.10 = 581.27/x
  3. Step 3: Cross multiply
    1,000.85x = 1,381.10 × 581.27
  4. Step 4: Simplify right side
    1,000.85x = 802,782.19
  5. Step 5: Solve for x
    x = 802,782.19/1,000.85
  6. Step 6: Final answer
    x = 802.10

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