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Finding the Fourth Proportional to 567.79, 785.22 and 543.35

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Solution

The fourth proportional to 567.79, 785.22 and 543.35 is: 751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.79 : 785.22 = 543.35 : x
  2. Step 2: Convert to fraction form
    567.79/785.22 = 543.35/x
  3. Step 3: Cross multiply
    567.79x = 785.22 × 543.35
  4. Step 4: Simplify right side
    567.79x = 426,649.29
  5. Step 5: Solve for x
    x = 426,649.29/567.79
  6. Step 6: Final answer
    x = 751.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.