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Finding the Fourth Proportional to 855.70, 1,180.64 and 501.43

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Solution

The fourth proportional to 855.70, 1,180.64 and 501.43 is: 691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.70 : 1,180.64 = 501.43 : x
  2. Step 2: Convert to fraction form
    855.70/1,180.64 = 501.43/x
  3. Step 3: Cross multiply
    855.70x = 1,180.64 × 501.43
  4. Step 4: Simplify right side
    855.70x = 592,008.32
  5. Step 5: Solve for x
    x = 592,008.32/855.70
  6. Step 6: Final answer
    x = 691.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.