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Finding the Fourth Proportional to 880.52, 1,317.74 and 706.77

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Solution

The fourth proportional to 880.52, 1,317.74 and 706.77 is: 1,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.52 : 1,317.74 = 706.77 : x
  2. Step 2: Convert to fraction form
    880.52/1,317.74 = 706.77/x
  3. Step 3: Cross multiply
    880.52x = 1,317.74 × 706.77
  4. Step 4: Simplify right side
    880.52x = 931,335.57
  5. Step 5: Solve for x
    x = 931,335.57/880.52
  6. Step 6: Final answer
    x = 1,057.72

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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.