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Finding the Fourth Proportional to 1,157.41, 1,734.90 and 718.66

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Solution

The fourth proportional to 1,157.41, 1,734.90 and 718.66 is: 1,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.41 : 1,734.90 = 718.66 : x
  2. Step 2: Convert to fraction form
    1,157.41/1,734.90 = 718.66/x
  3. Step 3: Cross multiply
    1,157.41x = 1,734.90 × 718.66
  4. Step 4: Simplify right side
    1,157.41x = 1,246,803.23
  5. Step 5: Solve for x
    x = 1,246,803.23/1,157.41
  6. Step 6: Final answer
    x = 1,077.24

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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.