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Finding the Fourth Proportional to 1,137.58, 1,707.18 and 771.46

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Solution

The fourth proportional to 1,137.58, 1,707.18 and 771.46 is: 1,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.58 : 1,707.18 = 771.46 : x
  2. Step 2: Convert to fraction form
    1,137.58/1,707.18 = 771.46/x
  3. Step 3: Cross multiply
    1,137.58x = 1,707.18 × 771.46
  4. Step 4: Simplify right side
    1,137.58x = 1,317,013.92
  5. Step 5: Solve for x
    x = 1,317,013.92/1,137.58
  6. Step 6: Final answer
    x = 1,157.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.