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Finding the Fourth Proportional to 914.60, 1,260.69 and 717.77

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Solution

The fourth proportional to 914.60, 1,260.69 and 717.77 is: 989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.60 : 1,260.69 = 717.77 : x
  2. Step 2: Convert to fraction form
    914.60/1,260.69 = 717.77/x
  3. Step 3: Cross multiply
    914.60x = 1,260.69 × 717.77
  4. Step 4: Simplify right side
    914.60x = 904,885.46
  5. Step 5: Solve for x
    x = 904,885.46/914.60
  6. Step 6: Final answer
    x = 989.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.