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Finding the Fourth Proportional to 904.83, 1,357.24 and 514.95

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Solution

The fourth proportional to 904.83, 1,357.24 and 514.95 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.83 : 1,357.24 = 514.95 : x
  2. Step 2: Convert to fraction form
    904.83/1,357.24 = 514.95/x
  3. Step 3: Cross multiply
    904.83x = 1,357.24 × 514.95
  4. Step 4: Simplify right side
    904.83x = 698,910.74
  5. Step 5: Solve for x
    x = 698,910.74/904.83
  6. Step 6: Final answer
    x = 772.42

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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.