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Finding the Fourth Proportional to 612.68, 914.19 and 553.92

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Solution

The fourth proportional to 612.68, 914.19 and 553.92 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 914.19 = 553.92 : x
  2. Step 2: Convert to fraction form
    612.68/914.19 = 553.92/x
  3. Step 3: Cross multiply
    612.68x = 914.19 × 553.92
  4. Step 4: Simplify right side
    612.68x = 506,388.12
  5. Step 5: Solve for x
    x = 506,388.12/612.68
  6. Step 6: Final answer
    x = 826.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.