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Finding the Fourth Proportional to 930.01, 1,392.58 and 512.59

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Solution

The fourth proportional to 930.01, 1,392.58 and 512.59 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.01 : 1,392.58 = 512.59 : x
  2. Step 2: Convert to fraction form
    930.01/1,392.58 = 512.59/x
  3. Step 3: Cross multiply
    930.01x = 1,392.58 × 512.59
  4. Step 4: Simplify right side
    930.01x = 713,822.58
  5. Step 5: Solve for x
    x = 713,822.58/930.01
  6. Step 6: Final answer
    x = 767.54

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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.