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Finding the Fourth Proportional to 882.33, 1,216.98 and 646.35

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Solution

The fourth proportional to 882.33, 1,216.98 and 646.35 is: 891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.33 : 1,216.98 = 646.35 : x
  2. Step 2: Convert to fraction form
    882.33/1,216.98 = 646.35/x
  3. Step 3: Cross multiply
    882.33x = 1,216.98 × 646.35
  4. Step 4: Simplify right side
    882.33x = 786,595.02
  5. Step 5: Solve for x
    x = 786,595.02/882.33
  6. Step 6: Final answer
    x = 891.50

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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.