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Finding the Fourth Proportional to 1,143.44, 1,577.86 and 646.12

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Solution

The fourth proportional to 1,143.44, 1,577.86 and 646.12 is: 891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.44 : 1,577.86 = 646.12 : x
  2. Step 2: Convert to fraction form
    1,143.44/1,577.86 = 646.12/x
  3. Step 3: Cross multiply
    1,143.44x = 1,577.86 × 646.12
  4. Step 4: Simplify right side
    1,143.44x = 1,019,487.26
  5. Step 5: Solve for x
    x = 1,019,487.26/1,143.44
  6. Step 6: Final answer
    x = 891.60

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.