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Finding the Fourth Proportional to 1,057.51, 1,458.46 and 860.68

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Solution

The fourth proportional to 1,057.51, 1,458.46 and 860.68 is: 1,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.51 : 1,458.46 = 860.68 : x
  2. Step 2: Convert to fraction form
    1,057.51/1,458.46 = 860.68/x
  3. Step 3: Cross multiply
    1,057.51x = 1,458.46 × 860.68
  4. Step 4: Simplify right side
    1,057.51x = 1,255,257.21
  5. Step 5: Solve for x
    x = 1,255,257.21/1,057.51
  6. Step 6: Final answer
    x = 1,187.00

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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.