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Finding the Fourth Proportional to 746.50, 1,030.26 and 484.74

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Solution

The fourth proportional to 746.50, 1,030.26 and 484.74 is: 669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.50 : 1,030.26 = 484.74 : x
  2. Step 2: Convert to fraction form
    746.50/1,030.26 = 484.74/x
  3. Step 3: Cross multiply
    746.50x = 1,030.26 × 484.74
  4. Step 4: Simplify right side
    746.50x = 499,408.23
  5. Step 5: Solve for x
    x = 499,408.23/746.50
  6. Step 6: Final answer
    x = 669.00

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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.