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Finding the Fourth Proportional to 1,078.52, 1,617.10 and 712.67

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Solution

The fourth proportional to 1,078.52, 1,617.10 and 712.67 is: 1,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.52 : 1,617.10 = 712.67 : x
  2. Step 2: Convert to fraction form
    1,078.52/1,617.10 = 712.67/x
  3. Step 3: Cross multiply
    1,078.52x = 1,617.10 × 712.67
  4. Step 4: Simplify right side
    1,078.52x = 1,152,448.79
  5. Step 5: Solve for x
    x = 1,152,448.79/1,078.52
  6. Step 6: Final answer
    x = 1,068.55

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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.