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Finding the Fourth Proportional to 897.14, 1,345.68 and 458.30

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Solution

The fourth proportional to 897.14, 1,345.68 and 458.30 is: 687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.14 : 1,345.68 = 458.30 : x
  2. Step 2: Convert to fraction form
    897.14/1,345.68 = 458.30/x
  3. Step 3: Cross multiply
    897.14x = 1,345.68 × 458.30
  4. Step 4: Simplify right side
    897.14x = 616,725.14
  5. Step 5: Solve for x
    x = 616,725.14/897.14
  6. Step 6: Final answer
    x = 687.43

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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.