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Finding the Fourth Proportional to 918.37, 1,267.34 and 498.72

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Solution

The fourth proportional to 918.37, 1,267.34 and 498.72 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.37 : 1,267.34 = 498.72 : x
  2. Step 2: Convert to fraction form
    918.37/1,267.34 = 498.72/x
  3. Step 3: Cross multiply
    918.37x = 1,267.34 × 498.72
  4. Step 4: Simplify right side
    918.37x = 632,044.30
  5. Step 5: Solve for x
    x = 632,044.30/918.37
  6. Step 6: Final answer
    x = 688.22

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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.