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Finding the Fourth Proportional to 746.93, 1,030.77 and 452.13

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Solution

The fourth proportional to 746.93, 1,030.77 and 452.13 is: 623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.93 : 1,030.77 = 452.13 : x
  2. Step 2: Convert to fraction form
    746.93/1,030.77 = 452.13/x
  3. Step 3: Cross multiply
    746.93x = 1,030.77 × 452.13
  4. Step 4: Simplify right side
    746.93x = 466,042.04
  5. Step 5: Solve for x
    x = 466,042.04/746.93
  6. Step 6: Final answer
    x = 623.95

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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.