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Finding the Fourth Proportional to 1,258.59, 1,884.84 and 756.82

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Solution

The fourth proportional to 1,258.59, 1,884.84 and 756.82 is: 1,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.59 : 1,884.84 = 756.82 : x
  2. Step 2: Convert to fraction form
    1,258.59/1,884.84 = 756.82/x
  3. Step 3: Cross multiply
    1,258.59x = 1,884.84 × 756.82
  4. Step 4: Simplify right side
    1,258.59x = 1,426,485.21
  5. Step 5: Solve for x
    x = 1,426,485.21/1,258.59
  6. Step 6: Final answer
    x = 1,133.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.