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Finding the Fourth Proportional to 885.96, 1,223.10 and 554.67

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Solution

The fourth proportional to 885.96, 1,223.10 and 554.67 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.96 : 1,223.10 = 554.67 : x
  2. Step 2: Convert to fraction form
    885.96/1,223.10 = 554.67/x
  3. Step 3: Cross multiply
    885.96x = 1,223.10 × 554.67
  4. Step 4: Simplify right side
    885.96x = 678,416.88
  5. Step 5: Solve for x
    x = 678,416.88/885.96
  6. Step 6: Final answer
    x = 765.74

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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.