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Finding the Fourth Proportional to 948.98, 1,309.58 and 534.98

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Solution

The fourth proportional to 948.98, 1,309.58 and 534.98 is: 738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.98 : 1,309.58 = 534.98 : x
  2. Step 2: Convert to fraction form
    948.98/1,309.58 = 534.98/x
  3. Step 3: Cross multiply
    948.98x = 1,309.58 × 534.98
  4. Step 4: Simplify right side
    948.98x = 700,596.43
  5. Step 5: Solve for x
    x = 700,596.43/948.98
  6. Step 6: Final answer
    x = 738.26

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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.