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Finding the Fourth Proportional to 1,269.56, 1,751.98 and 710.02

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Solution

The fourth proportional to 1,269.56, 1,751.98 and 710.02 is: 979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.56 : 1,751.98 = 710.02 : x
  2. Step 2: Convert to fraction form
    1,269.56/1,751.98 = 710.02/x
  3. Step 3: Cross multiply
    1,269.56x = 1,751.98 × 710.02
  4. Step 4: Simplify right side
    1,269.56x = 1,243,940.84
  5. Step 5: Solve for x
    x = 1,243,940.84/1,269.56
  6. Step 6: Final answer
    x = 979.82

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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.