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Finding the Fourth Proportional to 1,027.03, 1,416 and 747.04

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Solution

The fourth proportional to 1,027.03, 1,416 and 747.04 is: 1,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.03 : 1,416 = 747.04 : x
  2. Step 2: Convert to fraction form
    1,027.03/1,416 = 747.04/x
  3. Step 3: Cross multiply
    1,027.03x = 1,416 × 747.04
  4. Step 4: Simplify right side
    1,027.03x = 1,057,808.64
  5. Step 5: Solve for x
    x = 1,057,808.64/1,027.03
  6. Step 6: Final answer
    x = 1,029.97

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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.