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Finding the Fourth Proportional to 1,043.13, 1,565.04 and 495.26

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Solution

The fourth proportional to 1,043.13, 1,565.04 and 495.26 is: 743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.13 : 1,565.04 = 495.26 : x
  2. Step 2: Convert to fraction form
    1,043.13/1,565.04 = 495.26/x
  3. Step 3: Cross multiply
    1,043.13x = 1,565.04 × 495.26
  4. Step 4: Simplify right side
    1,043.13x = 775,093.89
  5. Step 5: Solve for x
    x = 775,093.89/1,043.13
  6. Step 6: Final answer
    x = 743.05

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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.