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Finding the Fourth Proportional to 1,017.60, 1,404.71 and 768.99

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Solution

The fourth proportional to 1,017.60, 1,404.71 and 768.99 is: 1,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.60 : 1,404.71 = 768.99 : x
  2. Step 2: Convert to fraction form
    1,017.60/1,404.71 = 768.99/x
  3. Step 3: Cross multiply
    1,017.60x = 1,404.71 × 768.99
  4. Step 4: Simplify right side
    1,017.60x = 1,080,212.25
  5. Step 5: Solve for x
    x = 1,080,212.25/1,017.60
  6. Step 6: Final answer
    x = 1,061.53

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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.