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Finding the Fourth Proportional to 967.09, 1,334.54 and 524.98

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Solution

The fourth proportional to 967.09, 1,334.54 and 524.98 is: 724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.09 : 1,334.54 = 524.98 : x
  2. Step 2: Convert to fraction form
    967.09/1,334.54 = 524.98/x
  3. Step 3: Cross multiply
    967.09x = 1,334.54 × 524.98
  4. Step 4: Simplify right side
    967.09x = 700,600.14
  5. Step 5: Solve for x
    x = 700,600.14/967.09
  6. Step 6: Final answer
    x = 724.45

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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.