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Finding the Fourth Proportional to 1,118.96, 1,543.95 and 646.71

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Solution

The fourth proportional to 1,118.96, 1,543.95 and 646.71 is: 892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.96 : 1,543.95 = 646.71 : x
  2. Step 2: Convert to fraction form
    1,118.96/1,543.95 = 646.71/x
  3. Step 3: Cross multiply
    1,118.96x = 1,543.95 × 646.71
  4. Step 4: Simplify right side
    1,118.96x = 998,487.90
  5. Step 5: Solve for x
    x = 998,487.90/1,118.96
  6. Step 6: Final answer
    x = 892.34

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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.