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Finding the Fourth Proportional to 1,056.10, 1,457.80 and 636.47

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Solution

The fourth proportional to 1,056.10, 1,457.80 and 636.47 is: 878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.10 : 1,457.80 = 636.47 : x
  2. Step 2: Convert to fraction form
    1,056.10/1,457.80 = 636.47/x
  3. Step 3: Cross multiply
    1,056.10x = 1,457.80 × 636.47
  4. Step 4: Simplify right side
    1,056.10x = 927,839.47
  5. Step 5: Solve for x
    x = 927,839.47/1,056.10
  6. Step 6: Final answer
    x = 878.55

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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.