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Finding the Fourth Proportional to 875.49, 1,208.42 and 543.74

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Solution

The fourth proportional to 875.49, 1,208.42 and 543.74 is: 750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.49 : 1,208.42 = 543.74 : x
  2. Step 2: Convert to fraction form
    875.49/1,208.42 = 543.74/x
  3. Step 3: Cross multiply
    875.49x = 1,208.42 × 543.74
  4. Step 4: Simplify right side
    875.49x = 657,057.53
  5. Step 5: Solve for x
    x = 657,057.53/875.49
  6. Step 6: Final answer
    x = 750.50

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Why These Related Problems?

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