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Finding the Fourth Proportional to 519.24, 715.83 and 503.07

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Solution

The fourth proportional to 519.24, 715.83 and 503.07 is: 693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.24 : 715.83 = 503.07 : x
  2. Step 2: Convert to fraction form
    519.24/715.83 = 503.07/x
  3. Step 3: Cross multiply
    519.24x = 715.83 × 503.07
  4. Step 4: Simplify right side
    519.24x = 360,112.60
  5. Step 5: Solve for x
    x = 360,112.60/519.24
  6. Step 6: Final answer
    x = 693.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.