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Finding the Fourth Proportional to 1,057.40, 1,459.99 and 684.60

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Solution

The fourth proportional to 1,057.40, 1,459.99 and 684.60 is: 945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.40 : 1,459.99 = 684.60 : x
  2. Step 2: Convert to fraction form
    1,057.40/1,459.99 = 684.60/x
  3. Step 3: Cross multiply
    1,057.40x = 1,459.99 × 684.60
  4. Step 4: Simplify right side
    1,057.40x = 999,509.15
  5. Step 5: Solve for x
    x = 999,509.15/1,057.40
  6. Step 6: Final answer
    x = 945.25

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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.