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Finding the Fourth Proportional to 1,404.42, 1,937.97 and 880.35

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Solution

The fourth proportional to 1,404.42, 1,937.97 and 880.35 is: 1,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.42 : 1,937.97 = 880.35 : x
  2. Step 2: Convert to fraction form
    1,404.42/1,937.97 = 880.35/x
  3. Step 3: Cross multiply
    1,404.42x = 1,937.97 × 880.35
  4. Step 4: Simplify right side
    1,404.42x = 1,706,091.89
  5. Step 5: Solve for x
    x = 1,706,091.89/1,404.42
  6. Step 6: Final answer
    x = 1,214.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.