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Finding the Fourth Proportional to 744.15, 1,026.98 and 482.92

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Solution

The fourth proportional to 744.15, 1,026.98 and 482.92 is: 666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.15 : 1,026.98 = 482.92 : x
  2. Step 2: Convert to fraction form
    744.15/1,026.98 = 482.92/x
  3. Step 3: Cross multiply
    744.15x = 1,026.98 × 482.92
  4. Step 4: Simplify right side
    744.15x = 495,949.18
  5. Step 5: Solve for x
    x = 495,949.18/744.15
  6. Step 6: Final answer
    x = 666.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.