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Finding the Fourth Proportional to 852.84, 1,176.84 and 503.46

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Solution

The fourth proportional to 852.84, 1,176.84 and 503.46 is: 694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.84 : 1,176.84 = 503.46 : x
  2. Step 2: Convert to fraction form
    852.84/1,176.84 = 503.46/x
  3. Step 3: Cross multiply
    852.84x = 1,176.84 × 503.46
  4. Step 4: Simplify right side
    852.84x = 592,491.87
  5. Step 5: Solve for x
    x = 592,491.87/852.84
  6. Step 6: Final answer
    x = 694.73

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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.