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Finding the Fourth Proportional to 1,044.07, 1,566.53 and 496.10

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Solution

The fourth proportional to 1,044.07, 1,566.53 and 496.10 is: 744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.07 : 1,566.53 = 496.10 : x
  2. Step 2: Convert to fraction form
    1,044.07/1,566.53 = 496.10/x
  3. Step 3: Cross multiply
    1,044.07x = 1,566.53 × 496.10
  4. Step 4: Simplify right side
    1,044.07x = 777,153.05
  5. Step 5: Solve for x
    x = 777,153.05/1,044.07
  6. Step 6: Final answer
    x = 744.35

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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.