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Finding the Fourth Proportional to 1,056.84, 1,456.54 and 1,009.05

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Solution

The fourth proportional to 1,056.84, 1,456.54 and 1,009.05 is: 1,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.84 : 1,456.54 = 1,009.05 : x
  2. Step 2: Convert to fraction form
    1,056.84/1,456.54 = 1,009.05/x
  3. Step 3: Cross multiply
    1,056.84x = 1,456.54 × 1,009.05
  4. Step 4: Simplify right side
    1,056.84x = 1,469,721.69
  5. Step 5: Solve for x
    x = 1,469,721.69/1,056.84
  6. Step 6: Final answer
    x = 1,390.68

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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.