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Finding the Fourth Proportional to 1,455.34, 2,008.34 and 792.22

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Solution

The fourth proportional to 1,455.34, 2,008.34 and 792.22 is: 1,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.34 : 2,008.34 = 792.22 : x
  2. Step 2: Convert to fraction form
    1,455.34/2,008.34 = 792.22/x
  3. Step 3: Cross multiply
    1,455.34x = 2,008.34 × 792.22
  4. Step 4: Simplify right side
    1,455.34x = 1,591,047.11
  5. Step 5: Solve for x
    x = 1,591,047.11/1,455.34
  6. Step 6: Final answer
    x = 1,093.25

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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.