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Finding the Fourth Proportional to 1,116.63, 1,674.47 and 386.10

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Solution

The fourth proportional to 1,116.63, 1,674.47 and 386.10 is: 578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.63 : 1,674.47 = 386.10 : x
  2. Step 2: Convert to fraction form
    1,116.63/1,674.47 = 386.10/x
  3. Step 3: Cross multiply
    1,116.63x = 1,674.47 × 386.10
  4. Step 4: Simplify right side
    1,116.63x = 646,513.83
  5. Step 5: Solve for x
    x = 646,513.83/1,116.63
  6. Step 6: Final answer
    x = 578.99

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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.