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Finding the Fourth Proportional to 2,903.29, 4,354.93 and 712.00

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Solution

The fourth proportional to 2,903.29, 4,354.93 and 712.00 is: 1,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.29 : 4,354.93 = 712.00 : x
  2. Step 2: Convert to fraction form
    2,903.29/4,354.93 = 712.00/x
  3. Step 3: Cross multiply
    2,903.29x = 4,354.93 × 712.00
  4. Step 4: Simplify right side
    2,903.29x = 3,100,716.49
  5. Step 5: Solve for x
    x = 3,100,716.49/2,903.29
  6. Step 6: Final answer
    x = 1,068.00

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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.