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Finding the Fourth Proportional to 1,116.46, 1,674.69 and 385.93

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Solution

The fourth proportional to 1,116.46, 1,674.69 and 385.93 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.46 : 1,674.69 = 385.93 : x
  2. Step 2: Convert to fraction form
    1,116.46/1,674.69 = 385.93/x
  3. Step 3: Cross multiply
    1,116.46x = 1,674.69 × 385.93
  4. Step 4: Simplify right side
    1,116.46x = 646,313.11
  5. Step 5: Solve for x
    x = 646,313.11/1,116.46
  6. Step 6: Final answer
    x = 578.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.