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Finding the Fourth Proportional to 897.58, 1,238.69 and 499.26

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Solution

The fourth proportional to 897.58, 1,238.69 and 499.26 is: 689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.58 : 1,238.69 = 499.26 : x
  2. Step 2: Convert to fraction form
    897.58/1,238.69 = 499.26/x
  3. Step 3: Cross multiply
    897.58x = 1,238.69 × 499.26
  4. Step 4: Simplify right side
    897.58x = 618,428.37
  5. Step 5: Solve for x
    x = 618,428.37/897.58
  6. Step 6: Final answer
    x = 689.00

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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.