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Finding the Fourth Proportional to 753.17, 1,129.41 and 290.66

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Solution

The fourth proportional to 753.17, 1,129.41 and 290.66 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.17 : 1,129.41 = 290.66 : x
  2. Step 2: Convert to fraction form
    753.17/1,129.41 = 290.66/x
  3. Step 3: Cross multiply
    753.17x = 1,129.41 × 290.66
  4. Step 4: Simplify right side
    753.17x = 328,268.66
  5. Step 5: Solve for x
    x = 328,268.66/753.17
  6. Step 6: Final answer
    x = 435.85

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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.