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Finding the Fourth Proportional to 897.60, 1,344.24 and 512.40

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Solution

The fourth proportional to 897.60, 1,344.24 and 512.40 is: 767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.60 : 1,344.24 = 512.40 : x
  2. Step 2: Convert to fraction form
    897.60/1,344.24 = 512.40/x
  3. Step 3: Cross multiply
    897.60x = 1,344.24 × 512.40
  4. Step 4: Simplify right side
    897.60x = 688,788.58
  5. Step 5: Solve for x
    x = 688,788.58/897.60
  6. Step 6: Final answer
    x = 767.37

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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.