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Finding the Fourth Proportional to 1,100.79, 1,652.00 and 956.61

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Solution

The fourth proportional to 1,100.79, 1,652.00 and 956.61 is: 1,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.79 : 1,652.00 = 956.61 : x
  2. Step 2: Convert to fraction form
    1,100.79/1,652.00 = 956.61/x
  3. Step 3: Cross multiply
    1,100.79x = 1,652.00 × 956.61
  4. Step 4: Simplify right side
    1,100.79x = 1,580,314.94
  5. Step 5: Solve for x
    x = 1,580,314.94/1,100.79
  6. Step 6: Final answer
    x = 1,435.62

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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.