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Finding the Fourth Proportional to 1,287.40, 1,774 and 1,054.12

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Solution

The fourth proportional to 1,287.40, 1,774 and 1,054.12 is: 1,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.40 : 1,774 = 1,054.12 : x
  2. Step 2: Convert to fraction form
    1,287.40/1,774 = 1,054.12/x
  3. Step 3: Cross multiply
    1,287.40x = 1,774 × 1,054.12
  4. Step 4: Simplify right side
    1,287.40x = 1,870,008.88
  5. Step 5: Solve for x
    x = 1,870,008.88/1,287.40
  6. Step 6: Final answer
    x = 1,452.55

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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.