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Finding the Fourth Proportional to 1,269.55, 1,752.04 and 772.10

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Solution

The fourth proportional to 1,269.55, 1,752.04 and 772.10 is: 1,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.55 : 1,752.04 = 772.10 : x
  2. Step 2: Convert to fraction form
    1,269.55/1,752.04 = 772.10/x
  3. Step 3: Cross multiply
    1,269.55x = 1,752.04 × 772.10
  4. Step 4: Simplify right side
    1,269.55x = 1,352,750.08
  5. Step 5: Solve for x
    x = 1,352,750.08/1,269.55
  6. Step 6: Final answer
    x = 1,065.54

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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.