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Finding the Fourth Proportional to 1,535.78, 2,303.63 and 495.86

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Solution

The fourth proportional to 1,535.78, 2,303.63 and 495.86 is: 743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.78 : 2,303.63 = 495.86 : x
  2. Step 2: Convert to fraction form
    1,535.78/2,303.63 = 495.86/x
  3. Step 3: Cross multiply
    1,535.78x = 2,303.63 × 495.86
  4. Step 4: Simplify right side
    1,535.78x = 1,142,267.69
  5. Step 5: Solve for x
    x = 1,142,267.69/1,535.78
  6. Step 6: Final answer
    x = 743.77

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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.