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Finding the Fourth Proportional to 749.49, 1,033.36 and 483.47

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Solution

The fourth proportional to 749.49, 1,033.36 and 483.47 is: 666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.49 : 1,033.36 = 483.47 : x
  2. Step 2: Convert to fraction form
    749.49/1,033.36 = 483.47/x
  3. Step 3: Cross multiply
    749.49x = 1,033.36 × 483.47
  4. Step 4: Simplify right side
    749.49x = 499,596.06
  5. Step 5: Solve for x
    x = 499,596.06/749.49
  6. Step 6: Final answer
    x = 666.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.