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Finding the Fourth Proportional to 746.43, 1,030.23 and 483.99

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Solution

The fourth proportional to 746.43, 1,030.23 and 483.99 is: 668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.43 : 1,030.23 = 483.99 : x
  2. Step 2: Convert to fraction form
    746.43/1,030.23 = 483.99/x
  3. Step 3: Cross multiply
    746.43x = 1,030.23 × 483.99
  4. Step 4: Simplify right side
    746.43x = 498,621.02
  5. Step 5: Solve for x
    x = 498,621.02/746.43
  6. Step 6: Final answer
    x = 668.01

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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.