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Finding the Fourth Proportional to 1,116.32, 1,674.52 and 385.92

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Solution

The fourth proportional to 1,116.32, 1,674.52 and 385.92 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.32 : 1,674.52 = 385.92 : x
  2. Step 2: Convert to fraction form
    1,116.32/1,674.52 = 385.92/x
  3. Step 3: Cross multiply
    1,116.32x = 1,674.52 × 385.92
  4. Step 4: Simplify right side
    1,116.32x = 646,230.76
  5. Step 5: Solve for x
    x = 646,230.76/1,116.32
  6. Step 6: Final answer
    x = 578.89

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Double scale
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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.