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Finding the Fourth Proportional to 570.82, 783.12 and 543.28

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Solution

The fourth proportional to 570.82, 783.12 and 543.28 is: 745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.82 : 783.12 = 543.28 : x
  2. Step 2: Convert to fraction form
    570.82/783.12 = 543.28/x
  3. Step 3: Cross multiply
    570.82x = 783.12 × 543.28
  4. Step 4: Simplify right side
    570.82x = 425,453.43
  5. Step 5: Solve for x
    x = 425,453.43/570.82
  6. Step 6: Final answer
    x = 745.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.