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Finding the Fourth Proportional to 1,156.37, 1,734.53 and 290.69

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Solution

The fourth proportional to 1,156.37, 1,734.53 and 290.69 is: 436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.37 : 1,734.53 = 290.69 : x
  2. Step 2: Convert to fraction form
    1,156.37/1,734.53 = 290.69/x
  3. Step 3: Cross multiply
    1,156.37x = 1,734.53 × 290.69
  4. Step 4: Simplify right side
    1,156.37x = 504,200.40
  5. Step 5: Solve for x
    x = 504,200.40/1,156.37
  6. Step 6: Final answer
    x = 436.02

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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.