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Finding the Fourth Proportional to 1,224.84, 1,689.60 and 775.89

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Solution

The fourth proportional to 1,224.84, 1,689.60 and 775.89 is: 1,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.84 : 1,689.60 = 775.89 : x
  2. Step 2: Convert to fraction form
    1,224.84/1,689.60 = 775.89/x
  3. Step 3: Cross multiply
    1,224.84x = 1,689.60 × 775.89
  4. Step 4: Simplify right side
    1,224.84x = 1,310,937.24
  5. Step 5: Solve for x
    x = 1,310,937.24/1,224.84
  6. Step 6: Final answer
    x = 1,070.29

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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.