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Finding the Fourth Proportional to 875.81, 1,208.70 and 654.37

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Solution

The fourth proportional to 875.81, 1,208.70 and 654.37 is: 903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.81 : 1,208.70 = 654.37 : x
  2. Step 2: Convert to fraction form
    875.81/1,208.70 = 654.37/x
  3. Step 3: Cross multiply
    875.81x = 1,208.70 × 654.37
  4. Step 4: Simplify right side
    875.81x = 790,937.02
  5. Step 5: Solve for x
    x = 790,937.02/875.81
  6. Step 6: Final answer
    x = 903.09

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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.