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Finding the Fourth Proportional to 749.06, 1,033.35 and 486.98

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Solution

The fourth proportional to 749.06, 1,033.35 and 486.98 is: 671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.06 : 1,033.35 = 486.98 : x
  2. Step 2: Convert to fraction form
    749.06/1,033.35 = 486.98/x
  3. Step 3: Cross multiply
    749.06x = 1,033.35 × 486.98
  4. Step 4: Simplify right side
    749.06x = 503,220.78
  5. Step 5: Solve for x
    x = 503,220.78/749.06
  6. Step 6: Final answer
    x = 671.80

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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.