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Finding the Fourth Proportional to 1,322.82, 1,985.31 and 592.47

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Solution

The fourth proportional to 1,322.82, 1,985.31 and 592.47 is: 889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.82 : 1,985.31 = 592.47 : x
  2. Step 2: Convert to fraction form
    1,322.82/1,985.31 = 592.47/x
  3. Step 3: Cross multiply
    1,322.82x = 1,985.31 × 592.47
  4. Step 4: Simplify right side
    1,322.82x = 1,176,236.62
  5. Step 5: Solve for x
    x = 1,176,236.62/1,322.82
  6. Step 6: Final answer
    x = 889.19

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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.