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Finding the Fourth Proportional to 1,531.29, 2,296.32 and 556.86

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Solution

The fourth proportional to 1,531.29, 2,296.32 and 556.86 is: 835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.29 : 2,296.32 = 556.86 : x
  2. Step 2: Convert to fraction form
    1,531.29/2,296.32 = 556.86/x
  3. Step 3: Cross multiply
    1,531.29x = 2,296.32 × 556.86
  4. Step 4: Simplify right side
    1,531.29x = 1,278,728.76
  5. Step 5: Solve for x
    x = 1,278,728.76/1,531.29
  6. Step 6: Final answer
    x = 835.07

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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.