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Finding the Fourth Proportional to 1,156.48, 1,734.82 and 531.77

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Solution

The fourth proportional to 1,156.48, 1,734.82 and 531.77 is: 797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.48 : 1,734.82 = 531.77 : x
  2. Step 2: Convert to fraction form
    1,156.48/1,734.82 = 531.77/x
  3. Step 3: Cross multiply
    1,156.48x = 1,734.82 × 531.77
  4. Step 4: Simplify right side
    1,156.48x = 922,515.23
  5. Step 5: Solve for x
    x = 922,515.23/1,156.48
  6. Step 6: Final answer
    x = 797.69

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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.