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Finding the Fourth Proportional to 592.93, 819.89 and 510.85

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Solution

The fourth proportional to 592.93, 819.89 and 510.85 is: 706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.93 : 819.89 = 510.85 : x
  2. Step 2: Convert to fraction form
    592.93/819.89 = 510.85/x
  3. Step 3: Cross multiply
    592.93x = 819.89 × 510.85
  4. Step 4: Simplify right side
    592.93x = 418,840.81
  5. Step 5: Solve for x
    x = 418,840.81/592.93
  6. Step 6: Final answer
    x = 706.39

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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.