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Finding the Fourth Proportional to 1,404.58, 2,107.91 and 527.91

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Solution

The fourth proportional to 1,404.58, 2,107.91 and 527.91 is: 792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.58 : 2,107.91 = 527.91 : x
  2. Step 2: Convert to fraction form
    1,404.58/2,107.91 = 527.91/x
  3. Step 3: Cross multiply
    1,404.58x = 2,107.91 × 527.91
  4. Step 4: Simplify right side
    1,404.58x = 1,112,786.77
  5. Step 5: Solve for x
    x = 1,112,786.77/1,404.58
  6. Step 6: Final answer
    x = 792.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.