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Finding the Fourth Proportional to 875.84, 1,209.15 and 639.56

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Solution

The fourth proportional to 875.84, 1,209.15 and 639.56 is: 882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.84 : 1,209.15 = 639.56 : x
  2. Step 2: Convert to fraction form
    875.84/1,209.15 = 639.56/x
  3. Step 3: Cross multiply
    875.84x = 1,209.15 × 639.56
  4. Step 4: Simplify right side
    875.84x = 773,317.93
  5. Step 5: Solve for x
    x = 773,317.93/875.84
  6. Step 6: Final answer
    x = 882.94

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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.