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Finding the Fourth Proportional to 1,158.08, 1,598.24 and 764.42

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Solution

The fourth proportional to 1,158.08, 1,598.24 and 764.42 is: 1,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.08 : 1,598.24 = 764.42 : x
  2. Step 2: Convert to fraction form
    1,158.08/1,598.24 = 764.42/x
  3. Step 3: Cross multiply
    1,158.08x = 1,598.24 × 764.42
  4. Step 4: Simplify right side
    1,158.08x = 1,221,722.80
  5. Step 5: Solve for x
    x = 1,221,722.80/1,158.08
  6. Step 6: Final answer
    x = 1,054.96

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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.