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Finding the Fourth Proportional to 746.94, 1,030.04 and 498.26

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Solution

The fourth proportional to 746.94, 1,030.04 and 498.26 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.94 : 1,030.04 = 498.26 : x
  2. Step 2: Convert to fraction form
    746.94/1,030.04 = 498.26/x
  3. Step 3: Cross multiply
    746.94x = 1,030.04 × 498.26
  4. Step 4: Simplify right side
    746.94x = 513,227.73
  5. Step 5: Solve for x
    x = 513,227.73/746.94
  6. Step 6: Final answer
    x = 687.11

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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.