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Finding the Fourth Proportional to 1,157.70, 1,597.67 and 633.75

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Solution

The fourth proportional to 1,157.70, 1,597.67 and 633.75 is: 874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.70 : 1,597.67 = 633.75 : x
  2. Step 2: Convert to fraction form
    1,157.70/1,597.67 = 633.75/x
  3. Step 3: Cross multiply
    1,157.70x = 1,597.67 × 633.75
  4. Step 4: Simplify right side
    1,157.70x = 1,012,523.36
  5. Step 5: Solve for x
    x = 1,012,523.36/1,157.70
  6. Step 6: Final answer
    x = 874.60

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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.