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Finding the Fourth Proportional to 897.78, 1,238.12 and 582.72

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Solution

The fourth proportional to 897.78, 1,238.12 and 582.72 is: 803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.78 : 1,238.12 = 582.72 : x
  2. Step 2: Convert to fraction form
    897.78/1,238.12 = 582.72/x
  3. Step 3: Cross multiply
    897.78x = 1,238.12 × 582.72
  4. Step 4: Simplify right side
    897.78x = 721,477.29
  5. Step 5: Solve for x
    x = 721,477.29/897.78
  6. Step 6: Final answer
    x = 803.62

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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.