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Finding the Fourth Proportional to 1,535.72, 2,303.53 and 495.78

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Solution

The fourth proportional to 1,535.72, 2,303.53 and 495.78 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.72 : 2,303.53 = 495.78 : x
  2. Step 2: Convert to fraction form
    1,535.72/2,303.53 = 495.78/x
  3. Step 3: Cross multiply
    1,535.72x = 2,303.53 × 495.78
  4. Step 4: Simplify right side
    1,535.72x = 1,142,042.86
  5. Step 5: Solve for x
    x = 1,142,042.86/1,535.72
  6. Step 6: Final answer
    x = 743.65

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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.