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Finding the Fourth Proportional to 1,285.73, 1,928.22 and 555.11

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Solution

The fourth proportional to 1,285.73, 1,928.22 and 555.11 is: 832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.73 : 1,928.22 = 555.11 : x
  2. Step 2: Convert to fraction form
    1,285.73/1,928.22 = 555.11/x
  3. Step 3: Cross multiply
    1,285.73x = 1,928.22 × 555.11
  4. Step 4: Simplify right side
    1,285.73x = 1,070,374.20
  5. Step 5: Solve for x
    x = 1,070,374.20/1,285.73
  6. Step 6: Final answer
    x = 832.50

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Half scale
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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.