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Finding the Fourth Proportional to 1,165.03, 1,607.13 and 792.90

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Solution

The fourth proportional to 1,165.03, 1,607.13 and 792.90 is: 1,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.03 : 1,607.13 = 792.90 : x
  2. Step 2: Convert to fraction form
    1,165.03/1,607.13 = 792.90/x
  3. Step 3: Cross multiply
    1,165.03x = 1,607.13 × 792.90
  4. Step 4: Simplify right side
    1,165.03x = 1,274,293.38
  5. Step 5: Solve for x
    x = 1,274,293.38/1,165.03
  6. Step 6: Final answer
    x = 1,093.79

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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.