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Finding the Fourth Proportional to 1,310.58, 1,966.05 and 386.21

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Solution

The fourth proportional to 1,310.58, 1,966.05 and 386.21 is: 579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.58 : 1,966.05 = 386.21 : x
  2. Step 2: Convert to fraction form
    1,310.58/1,966.05 = 386.21/x
  3. Step 3: Cross multiply
    1,310.58x = 1,966.05 × 386.21
  4. Step 4: Simplify right side
    1,310.58x = 759,298.34
  5. Step 5: Solve for x
    x = 759,298.34/1,310.58
  6. Step 6: Final answer
    x = 579.36

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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.