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Finding the Fourth Proportional to 1,116.45, 1,673.46 and 467.10

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Solution

The fourth proportional to 1,116.45, 1,673.46 and 467.10 is: 700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.45 : 1,673.46 = 467.10 : x
  2. Step 2: Convert to fraction form
    1,116.45/1,673.46 = 467.10/x
  3. Step 3: Cross multiply
    1,116.45x = 1,673.46 × 467.10
  4. Step 4: Simplify right side
    1,116.45x = 781,673.17
  5. Step 5: Solve for x
    x = 781,673.17/1,116.45
  6. Step 6: Final answer
    x = 700.14

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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.