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Finding the Fourth Proportional to 914.83, 1,370.51 and 452.06

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Solution

The fourth proportional to 914.83, 1,370.51 and 452.06 is: 677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.83 : 1,370.51 = 452.06 : x
  2. Step 2: Convert to fraction form
    914.83/1,370.51 = 452.06/x
  3. Step 3: Cross multiply
    914.83x = 1,370.51 × 452.06
  4. Step 4: Simplify right side
    914.83x = 619,553.92
  5. Step 5: Solve for x
    x = 619,553.92/914.83
  6. Step 6: Final answer
    x = 677.24

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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.