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Finding the Fourth Proportional to 746.68, 1,030.14 and 451.84

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Solution

The fourth proportional to 746.68, 1,030.14 and 451.84 is: 623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.68 : 1,030.14 = 451.84 : x
  2. Step 2: Convert to fraction form
    746.68/1,030.14 = 451.84/x
  3. Step 3: Cross multiply
    746.68x = 1,030.14 × 451.84
  4. Step 4: Simplify right side
    746.68x = 465,459.59
  5. Step 5: Solve for x
    x = 465,459.59/746.68
  6. Step 6: Final answer
    x = 623.37

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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.