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Finding the Fourth Proportional to 919.17, 1,377.63 and 424.98

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Solution

The fourth proportional to 919.17, 1,377.63 and 424.98 is: 636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.17 : 1,377.63 = 424.98 : x
  2. Step 2: Convert to fraction form
    919.17/1,377.63 = 424.98/x
  3. Step 3: Cross multiply
    919.17x = 1,377.63 × 424.98
  4. Step 4: Simplify right side
    919.17x = 585,465.20
  5. Step 5: Solve for x
    x = 585,465.20/919.17
  6. Step 6: Final answer
    x = 636.95

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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.