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Finding the Fourth Proportional to 1,156.09, 1,734.14 and 290.40

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Solution

The fourth proportional to 1,156.09, 1,734.14 and 290.40 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.09 : 1,734.14 = 290.40 : x
  2. Step 2: Convert to fraction form
    1,156.09/1,734.14 = 290.40/x
  3. Step 3: Cross multiply
    1,156.09x = 1,734.14 × 290.40
  4. Step 4: Simplify right side
    1,156.09x = 503,600.40
  5. Step 5: Solve for x
    x = 503,600.40/1,156.09
  6. Step 6: Final answer
    x = 435.61

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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.