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Finding the Fourth Proportional to 1,077.56, 1,488.36 and 953.60

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Solution

The fourth proportional to 1,077.56, 1,488.36 and 953.60 is: 1,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.56 : 1,488.36 = 953.60 : x
  2. Step 2: Convert to fraction form
    1,077.56/1,488.36 = 953.60/x
  3. Step 3: Cross multiply
    1,077.56x = 1,488.36 × 953.60
  4. Step 4: Simplify right side
    1,077.56x = 1,419,300.10
  5. Step 5: Solve for x
    x = 1,419,300.10/1,077.56
  6. Step 6: Final answer
    x = 1,317.14

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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.