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Finding the Fourth Proportional to 746.71, 1,030.29 and 451.91

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Solution

The fourth proportional to 746.71, 1,030.29 and 451.91 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.71 : 1,030.29 = 451.91 : x
  2. Step 2: Convert to fraction form
    746.71/1,030.29 = 451.91/x
  3. Step 3: Cross multiply
    746.71x = 1,030.29 × 451.91
  4. Step 4: Simplify right side
    746.71x = 465,598.35
  5. Step 5: Solve for x
    x = 465,598.35/746.71
  6. Step 6: Final answer
    x = 623.53

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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.