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Finding the Fourth Proportional to 779.99, 1,170.33 and 414.35

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Solution

The fourth proportional to 779.99, 1,170.33 and 414.35 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.99 : 1,170.33 = 414.35 : x
  2. Step 2: Convert to fraction form
    779.99/1,170.33 = 414.35/x
  3. Step 3: Cross multiply
    779.99x = 1,170.33 × 414.35
  4. Step 4: Simplify right side
    779.99x = 484,925.41
  5. Step 5: Solve for x
    x = 484,925.41/779.99
  6. Step 6: Final answer
    x = 621.71

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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.