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Finding the Fourth Proportional to 1,054.74, 1,453.59 and 821.46

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Solution

The fourth proportional to 1,054.74, 1,453.59 and 821.46 is: 1,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.74 : 1,453.59 = 821.46 : x
  2. Step 2: Convert to fraction form
    1,054.74/1,453.59 = 821.46/x
  3. Step 3: Cross multiply
    1,054.74x = 1,453.59 × 821.46
  4. Step 4: Simplify right side
    1,054.74x = 1,194,066.04
  5. Step 5: Solve for x
    x = 1,194,066.04/1,054.74
  6. Step 6: Final answer
    x = 1,132.10

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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.