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Finding the Fourth Proportional to 1,258.40, 1,736.62 and 760.94

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Solution

The fourth proportional to 1,258.40, 1,736.62 and 760.94 is: 1,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.40 : 1,736.62 = 760.94 : x
  2. Step 2: Convert to fraction form
    1,258.40/1,736.62 = 760.94/x
  3. Step 3: Cross multiply
    1,258.40x = 1,736.62 × 760.94
  4. Step 4: Simplify right side
    1,258.40x = 1,321,463.62
  5. Step 5: Solve for x
    x = 1,321,463.62/1,258.40
  6. Step 6: Final answer
    x = 1,050.11

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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.