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Finding the Fourth Proportional to 897.16, 1,345.02 and 512.68

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Solution

The fourth proportional to 897.16, 1,345.02 and 512.68 is: 768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.16 : 1,345.02 = 512.68 : x
  2. Step 2: Convert to fraction form
    897.16/1,345.02 = 512.68/x
  3. Step 3: Cross multiply
    897.16x = 1,345.02 × 512.68
  4. Step 4: Simplify right side
    897.16x = 689,564.85
  5. Step 5: Solve for x
    x = 689,564.85/897.16
  6. Step 6: Final answer
    x = 768.61

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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.