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Finding the Fourth Proportional to 897.60, 1,238.68 and 499.25

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Solution

The fourth proportional to 897.60, 1,238.68 and 499.25 is: 688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.60 : 1,238.68 = 499.25 : x
  2. Step 2: Convert to fraction form
    897.60/1,238.68 = 499.25/x
  3. Step 3: Cross multiply
    897.60x = 1,238.68 × 499.25
  4. Step 4: Simplify right side
    897.60x = 618,405.10
  5. Step 5: Solve for x
    x = 618,405.10/897.60
  6. Step 6: Final answer
    x = 688.96

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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.