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Finding the Fourth Proportional to 1,157.13, 1,597.28 and 764.69

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Solution

The fourth proportional to 1,157.13, 1,597.28 and 764.69 is: 1,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.13 : 1,597.28 = 764.69 : x
  2. Step 2: Convert to fraction form
    1,157.13/1,597.28 = 764.69/x
  3. Step 3: Cross multiply
    1,157.13x = 1,597.28 × 764.69
  4. Step 4: Simplify right side
    1,157.13x = 1,221,412.23
  5. Step 5: Solve for x
    x = 1,221,412.23/1,157.13
  6. Step 6: Final answer
    x = 1,055.55

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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.