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Finding the Fourth Proportional to 1,322.49, 1,820.88 and 1,006.74

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Solution

The fourth proportional to 1,322.49, 1,820.88 and 1,006.74 is: 1,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.49 : 1,820.88 = 1,006.74 : x
  2. Step 2: Convert to fraction form
    1,322.49/1,820.88 = 1,006.74/x
  3. Step 3: Cross multiply
    1,322.49x = 1,820.88 × 1,006.74
  4. Step 4: Simplify right side
    1,322.49x = 1,833,155.78
  5. Step 5: Solve for x
    x = 1,833,155.78/1,322.49
  6. Step 6: Final answer
    x = 1,386.14

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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.