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Finding the Fourth Proportional to 1,056.64, 1,457.86 and 636.79

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Solution

The fourth proportional to 1,056.64, 1,457.86 and 636.79 is: 878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.64 : 1,457.86 = 636.79 : x
  2. Step 2: Convert to fraction form
    1,056.64/1,457.86 = 636.79/x
  3. Step 3: Cross multiply
    1,056.64x = 1,457.86 × 636.79
  4. Step 4: Simplify right side
    1,056.64x = 928,350.67
  5. Step 5: Solve for x
    x = 928,350.67/1,056.64
  6. Step 6: Final answer
    x = 878.59

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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.