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Finding the Fourth Proportional to 1,262.37, 1,741.99 and 702.88

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Solution

The fourth proportional to 1,262.37, 1,741.99 and 702.88 is: 969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.37 : 1,741.99 = 702.88 : x
  2. Step 2: Convert to fraction form
    1,262.37/1,741.99 = 702.88/x
  3. Step 3: Cross multiply
    1,262.37x = 1,741.99 × 702.88
  4. Step 4: Simplify right side
    1,262.37x = 1,224,403.65
  5. Step 5: Solve for x
    x = 1,224,403.65/1,262.37
  6. Step 6: Final answer
    x = 969.93

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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.