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Finding the Fourth Proportional to 1,096.92, 1,514.16 and 654.96

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Solution

The fourth proportional to 1,096.92, 1,514.16 and 654.96 is: 904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.92 : 1,514.16 = 654.96 : x
  2. Step 2: Convert to fraction form
    1,096.92/1,514.16 = 654.96/x
  3. Step 3: Cross multiply
    1,096.92x = 1,514.16 × 654.96
  4. Step 4: Simplify right side
    1,096.92x = 991,714.23
  5. Step 5: Solve for x
    x = 991,714.23/1,096.92
  6. Step 6: Final answer
    x = 904.09

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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.