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Finding the Fourth Proportional to 837.74, 1,155.69 and 543.10

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Solution

The fourth proportional to 837.74, 1,155.69 and 543.10 is: 749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.74 : 1,155.69 = 543.10 : x
  2. Step 2: Convert to fraction form
    837.74/1,155.69 = 543.10/x
  3. Step 3: Cross multiply
    837.74x = 1,155.69 × 543.10
  4. Step 4: Simplify right side
    837.74x = 627,655.24
  5. Step 5: Solve for x
    x = 627,655.24/837.74
  6. Step 6: Final answer
    x = 749.22

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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.