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Finding the Fourth Proportional to 1,023.93, 1,535.74 and 503.79

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Solution

The fourth proportional to 1,023.93, 1,535.74 and 503.79 is: 755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.93 : 1,535.74 = 503.79 : x
  2. Step 2: Convert to fraction form
    1,023.93/1,535.74 = 503.79/x
  3. Step 3: Cross multiply
    1,023.93x = 1,535.74 × 503.79
  4. Step 4: Simplify right side
    1,023.93x = 773,690.45
  5. Step 5: Solve for x
    x = 773,690.45/1,023.93
  6. Step 6: Final answer
    x = 755.61

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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.