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Finding the Fourth Proportional to 852.40, 1,176.42 and 537.76

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Solution

The fourth proportional to 852.40, 1,176.42 and 537.76 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,176.42 = 537.76 : x
  2. Step 2: Convert to fraction form
    852.40/1,176.42 = 537.76/x
  3. Step 3: Cross multiply
    852.40x = 1,176.42 × 537.76
  4. Step 4: Simplify right side
    852.40x = 632,631.62
  5. Step 5: Solve for x
    x = 632,631.62/852.40
  6. Step 6: Final answer
    x = 742.18

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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.