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Finding the Fourth Proportional to 1,056.83, 1,459.22 and 911.03

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Solution

The fourth proportional to 1,056.83, 1,459.22 and 911.03 is: 1,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.83 : 1,459.22 = 911.03 : x
  2. Step 2: Convert to fraction form
    1,056.83/1,459.22 = 911.03/x
  3. Step 3: Cross multiply
    1,056.83x = 1,459.22 × 911.03
  4. Step 4: Simplify right side
    1,056.83x = 1,329,381.35
  5. Step 5: Solve for x
    x = 1,329,381.35/1,056.83
  6. Step 6: Final answer
    x = 1,257.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.