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Finding the Fourth Proportional to 1,157.82, 1,597.14 and 715.41

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Solution

The fourth proportional to 1,157.82, 1,597.14 and 715.41 is: 986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.82 : 1,597.14 = 715.41 : x
  2. Step 2: Convert to fraction form
    1,157.82/1,597.14 = 715.41/x
  3. Step 3: Cross multiply
    1,157.82x = 1,597.14 × 715.41
  4. Step 4: Simplify right side
    1,157.82x = 1,142,609.93
  5. Step 5: Solve for x
    x = 1,142,609.93/1,157.82
  6. Step 6: Final answer
    x = 986.86

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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.