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Finding the Fourth Proportional to 746.16, 1,029.77 and 414.65

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Solution

The fourth proportional to 746.16, 1,029.77 and 414.65 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.16 : 1,029.77 = 414.65 : x
  2. Step 2: Convert to fraction form
    746.16/1,029.77 = 414.65/x
  3. Step 3: Cross multiply
    746.16x = 1,029.77 × 414.65
  4. Step 4: Simplify right side
    746.16x = 426,994.63
  5. Step 5: Solve for x
    x = 426,994.63/746.16
  6. Step 6: Final answer
    x = 572.26

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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.