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Finding the Fourth Proportional to 563.09, 848.18 and 512.06

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Solution

The fourth proportional to 563.09, 848.18 and 512.06 is: 771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.09 : 848.18 = 512.06 : x
  2. Step 2: Convert to fraction form
    563.09/848.18 = 512.06/x
  3. Step 3: Cross multiply
    563.09x = 848.18 × 512.06
  4. Step 4: Simplify right side
    563.09x = 434,319.05
  5. Step 5: Solve for x
    x = 434,319.05/563.09
  6. Step 6: Final answer
    x = 771.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.