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Finding the Fourth Proportional to 918.21, 1,267.13 and 498.57

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Solution

The fourth proportional to 918.21, 1,267.13 and 498.57 is: 688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.21 : 1,267.13 = 498.57 : x
  2. Step 2: Convert to fraction form
    918.21/1,267.13 = 498.57/x
  3. Step 3: Cross multiply
    918.21x = 1,267.13 × 498.57
  4. Step 4: Simplify right side
    918.21x = 631,750.51
  5. Step 5: Solve for x
    x = 631,750.51/918.21
  6. Step 6: Final answer
    x = 688.02

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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.