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Finding the Fourth Proportional to 1,157.12, 1,596.78 and 709.16

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Solution

The fourth proportional to 1,157.12, 1,596.78 and 709.16 is: 978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.12 : 1,596.78 = 709.16 : x
  2. Step 2: Convert to fraction form
    1,157.12/1,596.78 = 709.16/x
  3. Step 3: Cross multiply
    1,157.12x = 1,596.78 × 709.16
  4. Step 4: Simplify right side
    1,157.12x = 1,132,372.50
  5. Step 5: Solve for x
    x = 1,132,372.50/1,157.12
  6. Step 6: Final answer
    x = 978.61

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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.