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Finding the Fourth Proportional to 882.84, 1,322.46 and 471

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Solution

The fourth proportional to 882.84, 1,322.46 and 471 is: 705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.84 : 1,322.46 = 471 : x
  2. Step 2: Convert to fraction form
    882.84/1,322.46 = 471/x
  3. Step 3: Cross multiply
    882.84x = 1,322.46 × 471
  4. Step 4: Simplify right side
    882.84x = 622,878.66
  5. Step 5: Solve for x
    x = 622,878.66/882.84
  6. Step 6: Final answer
    x = 705.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.