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Finding the Fourth Proportional to 1,783.79, 2,675.21 and 534.09

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Solution

The fourth proportional to 1,783.79, 2,675.21 and 534.09 is: 800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.79 : 2,675.21 = 534.09 : x
  2. Step 2: Convert to fraction form
    1,783.79/2,675.21 = 534.09/x
  3. Step 3: Cross multiply
    1,783.79x = 2,675.21 × 534.09
  4. Step 4: Simplify right side
    1,783.79x = 1,428,802.91
  5. Step 5: Solve for x
    x = 1,428,802.91/1,783.79
  6. Step 6: Final answer
    x = 800.99

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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.