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Finding the Fourth Proportional to 897.22, 1,345.20 and 458.61

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Solution

The fourth proportional to 897.22, 1,345.20 and 458.61 is: 687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.22 : 1,345.20 = 458.61 : x
  2. Step 2: Convert to fraction form
    897.22/1,345.20 = 458.61/x
  3. Step 3: Cross multiply
    897.22x = 1,345.20 × 458.61
  4. Step 4: Simplify right side
    897.22x = 616,922.17
  5. Step 5: Solve for x
    x = 616,922.17/897.22
  6. Step 6: Final answer
    x = 687.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.