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Finding the Fourth Proportional to 1,752.85, 2,627 and 711.64

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Solution

The fourth proportional to 1,752.85, 2,627 and 711.64 is: 1,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.85 : 2,627 = 711.64 : x
  2. Step 2: Convert to fraction form
    1,752.85/2,627 = 711.64/x
  3. Step 3: Cross multiply
    1,752.85x = 2,627 × 711.64
  4. Step 4: Simplify right side
    1,752.85x = 1,869,478.28
  5. Step 5: Solve for x
    x = 1,869,478.28/1,752.85
  6. Step 6: Final answer
    x = 1,066.54

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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.