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Finding the Fourth Proportional to 746.64, 1,030.26 and 498.12

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Solution

The fourth proportional to 746.64, 1,030.26 and 498.12 is: 687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.64 : 1,030.26 = 498.12 : x
  2. Step 2: Convert to fraction form
    746.64/1,030.26 = 498.12/x
  3. Step 3: Cross multiply
    746.64x = 1,030.26 × 498.12
  4. Step 4: Simplify right side
    746.64x = 513,193.11
  5. Step 5: Solve for x
    x = 513,193.11/746.64
  6. Step 6: Final answer
    x = 687.34

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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.