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Finding the Fourth Proportional to 859.76, 1,186.32 and 486.70

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Solution

The fourth proportional to 859.76, 1,186.32 and 486.70 is: 671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.76 : 1,186.32 = 486.70 : x
  2. Step 2: Convert to fraction form
    859.76/1,186.32 = 486.70/x
  3. Step 3: Cross multiply
    859.76x = 1,186.32 × 486.70
  4. Step 4: Simplify right side
    859.76x = 577,381.94
  5. Step 5: Solve for x
    x = 577,381.94/859.76
  6. Step 6: Final answer
    x = 671.56

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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.