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Finding the Fourth Proportional to 897.31, 1,238.07 and 524.08

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Solution

The fourth proportional to 897.31, 1,238.07 and 524.08 is: 723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.31 : 1,238.07 = 524.08 : x
  2. Step 2: Convert to fraction form
    897.31/1,238.07 = 524.08/x
  3. Step 3: Cross multiply
    897.31x = 1,238.07 × 524.08
  4. Step 4: Simplify right side
    897.31x = 648,838.91
  5. Step 5: Solve for x
    x = 648,838.91/897.31
  6. Step 6: Final answer
    x = 723.09

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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.