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Finding the Fourth Proportional to 1,105.12, 1,525.38 and 662.92

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Solution

The fourth proportional to 1,105.12, 1,525.38 and 662.92 is: 915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.12 : 1,525.38 = 662.92 : x
  2. Step 2: Convert to fraction form
    1,105.12/1,525.38 = 662.92/x
  3. Step 3: Cross multiply
    1,105.12x = 1,525.38 × 662.92
  4. Step 4: Simplify right side
    1,105.12x = 1,011,204.91
  5. Step 5: Solve for x
    x = 1,011,204.91/1,105.12
  6. Step 6: Final answer
    x = 915.02

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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.