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Finding the Fourth Proportional to 746.98, 1,030.40 and 485.17

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Solution

The fourth proportional to 746.98, 1,030.40 and 485.17 is: 669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.98 : 1,030.40 = 485.17 : x
  2. Step 2: Convert to fraction form
    746.98/1,030.40 = 485.17/x
  3. Step 3: Cross multiply
    746.98x = 1,030.40 × 485.17
  4. Step 4: Simplify right side
    746.98x = 499,916.74
  5. Step 5: Solve for x
    x = 499,916.74/746.98
  6. Step 6: Final answer
    x = 669.25

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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.