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Finding the Fourth Proportional to 590.94, 882 and 512.50

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Solution

The fourth proportional to 590.94, 882 and 512.50 is: 764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.94 : 882 = 512.50 : x
  2. Step 2: Convert to fraction form
    590.94/882 = 512.50/x
  3. Step 3: Cross multiply
    590.94x = 882 × 512.50
  4. Step 4: Simplify right side
    590.94x = 452,025
  5. Step 5: Solve for x
    x = 452,025/590.94
  6. Step 6: Final answer
    x = 764.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.