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Finding the Fourth Proportional to 1,044.79, 1,566.33 and 459.37

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Solution

The fourth proportional to 1,044.79, 1,566.33 and 459.37 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.79 : 1,566.33 = 459.37 : x
  2. Step 2: Convert to fraction form
    1,044.79/1,566.33 = 459.37/x
  3. Step 3: Cross multiply
    1,044.79x = 1,566.33 × 459.37
  4. Step 4: Simplify right side
    1,044.79x = 719,525.01
  5. Step 5: Solve for x
    x = 719,525.01/1,044.79
  6. Step 6: Final answer
    x = 688.68

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