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Finding the Fourth Proportional to 1,057.28, 1,459.60 and 684.72

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Solution

The fourth proportional to 1,057.28, 1,459.60 and 684.72 is: 945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.28 : 1,459.60 = 684.72 : x
  2. Step 2: Convert to fraction form
    1,057.28/1,459.60 = 684.72/x
  3. Step 3: Cross multiply
    1,057.28x = 1,459.60 × 684.72
  4. Step 4: Simplify right side
    1,057.28x = 999,417.31
  5. Step 5: Solve for x
    x = 999,417.31/1,057.28
  6. Step 6: Final answer
    x = 945.27

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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.