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Finding the Fourth Proportional to 667.56, 1,000.10 and 581.16

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Solution

The fourth proportional to 667.56, 1,000.10 and 581.16 is: 870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.56 : 1,000.10 = 581.16 : x
  2. Step 2: Convert to fraction form
    667.56/1,000.10 = 581.16/x
  3. Step 3: Cross multiply
    667.56x = 1,000.10 × 581.16
  4. Step 4: Simplify right side
    667.56x = 581,218.12
  5. Step 5: Solve for x
    x = 581,218.12/667.56
  6. Step 6: Final answer
    x = 870.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.