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Finding the Fourth Proportional to 1,116.28, 1,674.02 and 385.68

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Solution

The fourth proportional to 1,116.28, 1,674.02 and 385.68 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.28 : 1,674.02 = 385.68 : x
  2. Step 2: Convert to fraction form
    1,116.28/1,674.02 = 385.68/x
  3. Step 3: Cross multiply
    1,116.28x = 1,674.02 × 385.68
  4. Step 4: Simplify right side
    1,116.28x = 645,636.03
  5. Step 5: Solve for x
    x = 645,636.03/1,116.28
  6. Step 6: Final answer
    x = 578.38

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Double scale
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1.5x scale

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.