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Finding the Fourth Proportional to 917.96, 1,267.32 and 586.67

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Solution

The fourth proportional to 917.96, 1,267.32 and 586.67 is: 809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.96 : 1,267.32 = 586.67 : x
  2. Step 2: Convert to fraction form
    917.96/1,267.32 = 586.67/x
  3. Step 3: Cross multiply
    917.96x = 1,267.32 × 586.67
  4. Step 4: Simplify right side
    917.96x = 743,492.29
  5. Step 5: Solve for x
    x = 743,492.29/917.96
  6. Step 6: Final answer
    x = 809.94

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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.