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Finding the Fourth Proportional to 1,318.88, 1,977.60 and 702.48

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Solution

The fourth proportional to 1,318.88, 1,977.60 and 702.48 is: 1,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.88 : 1,977.60 = 702.48 : x
  2. Step 2: Convert to fraction form
    1,318.88/1,977.60 = 702.48/x
  3. Step 3: Cross multiply
    1,318.88x = 1,977.60 × 702.48
  4. Step 4: Simplify right side
    1,318.88x = 1,389,224.45
  5. Step 5: Solve for x
    x = 1,389,224.45/1,318.88
  6. Step 6: Final answer
    x = 1,053.34

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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.