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Finding the Fourth Proportional to 2,905.94, 4,358.99 and 714.69

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Solution

The fourth proportional to 2,905.94, 4,358.99 and 714.69 is: 1,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.94 : 4,358.99 = 714.69 : x
  2. Step 2: Convert to fraction form
    2,905.94/4,358.99 = 714.69/x
  3. Step 3: Cross multiply
    2,905.94x = 4,358.99 × 714.69
  4. Step 4: Simplify right side
    2,905.94x = 3,115,322.99
  5. Step 5: Solve for x
    x = 3,115,322.99/2,905.94
  6. Step 6: Final answer
    x = 1,072.06

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1.5x scale

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.