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Finding the Fourth Proportional to 676.02, 930.78 and 592.66

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Solution

The fourth proportional to 676.02, 930.78 and 592.66 is: 816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.02 : 930.78 = 592.66 : x
  2. Step 2: Convert to fraction form
    676.02/930.78 = 592.66/x
  3. Step 3: Cross multiply
    676.02x = 930.78 × 592.66
  4. Step 4: Simplify right side
    676.02x = 551,636.07
  5. Step 5: Solve for x
    x = 551,636.07/676.02
  6. Step 6: Final answer
    x = 816.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.