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Finding the Fourth Proportional to 1,709.33, 2,563.94 and 614.40

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Solution

The fourth proportional to 1,709.33, 2,563.94 and 614.40 is: 921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.33 : 2,563.94 = 614.40 : x
  2. Step 2: Convert to fraction form
    1,709.33/2,563.94 = 614.40/x
  3. Step 3: Cross multiply
    1,709.33x = 2,563.94 × 614.40
  4. Step 4: Simplify right side
    1,709.33x = 1,575,281.66
  5. Step 5: Solve for x
    x = 1,575,281.66/1,709.33
  6. Step 6: Final answer
    x = 921.58

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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.