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Finding the Fourth Proportional to 595.92, 820.70 and 513

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Solution

The fourth proportional to 595.92, 820.70 and 513 is: 706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.92 : 820.70 = 513 : x
  2. Step 2: Convert to fraction form
    595.92/820.70 = 513/x
  3. Step 3: Cross multiply
    595.92x = 820.70 × 513
  4. Step 4: Simplify right side
    595.92x = 421,019.10
  5. Step 5: Solve for x
    x = 421,019.10/595.92
  6. Step 6: Final answer
    x = 706.50

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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.