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Finding the Fourth Proportional to 912.65, 1,366.94 and 424.22

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Solution

The fourth proportional to 912.65, 1,366.94 and 424.22 is: 635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.65 : 1,366.94 = 424.22 : x
  2. Step 2: Convert to fraction form
    912.65/1,366.94 = 424.22/x
  3. Step 3: Cross multiply
    912.65x = 1,366.94 × 424.22
  4. Step 4: Simplify right side
    912.65x = 579,877.51
  5. Step 5: Solve for x
    x = 579,877.51/912.65
  6. Step 6: Final answer
    x = 635.38

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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.