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Finding the Fourth Proportional to 918.34, 1,267.27 and 498.67

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Solution

The fourth proportional to 918.34, 1,267.27 and 498.67 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.34 : 1,267.27 = 498.67 : x
  2. Step 2: Convert to fraction form
    918.34/1,267.27 = 498.67/x
  3. Step 3: Cross multiply
    918.34x = 1,267.27 × 498.67
  4. Step 4: Simplify right side
    918.34x = 631,945.12
  5. Step 5: Solve for x
    x = 631,945.12/918.34
  6. Step 6: Final answer
    x = 688.14

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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.