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Finding the Fourth Proportional to 871.84, 1,203.06 and 498.64

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Solution

The fourth proportional to 871.84, 1,203.06 and 498.64 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.84 : 1,203.06 = 498.64 : x
  2. Step 2: Convert to fraction form
    871.84/1,203.06 = 498.64/x
  3. Step 3: Cross multiply
    871.84x = 1,203.06 × 498.64
  4. Step 4: Simplify right side
    871.84x = 599,893.84
  5. Step 5: Solve for x
    x = 599,893.84/871.84
  6. Step 6: Final answer
    x = 688.08

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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.