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Finding the Fourth Proportional to 1,157.04, 1,596.24 and 690.48

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Solution

The fourth proportional to 1,157.04, 1,596.24 and 690.48 is: 952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.04 : 1,596.24 = 690.48 : x
  2. Step 2: Convert to fraction form
    1,157.04/1,596.24 = 690.48/x
  3. Step 3: Cross multiply
    1,157.04x = 1,596.24 × 690.48
  4. Step 4: Simplify right side
    1,157.04x = 1,102,171.80
  5. Step 5: Solve for x
    x = 1,102,171.80/1,157.04
  6. Step 6: Final answer
    x = 952.58

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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.