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Finding the Fourth Proportional to 1,137.60, 1,530.90 and 1,137.60

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Solution

The fourth proportional to 1,137.60, 1,530.90 and 1,137.60 is: 1,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.60 : 1,530.90 = 1,137.60 : x
  2. Step 2: Convert to fraction form
    1,137.60/1,530.90 = 1,137.60/x
  3. Step 3: Cross multiply
    1,137.60x = 1,530.90 × 1,137.60
  4. Step 4: Simplify right side
    1,137.60x = 1,741,551.84
  5. Step 5: Solve for x
    x = 1,741,551.84/1,137.60
  6. Step 6: Final answer
    x = 1,530.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.