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Finding the Fourth Proportional to 749.19, 1,033.48 and 486.75

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Solution

The fourth proportional to 749.19, 1,033.48 and 486.75 is: 671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.19 : 1,033.48 = 486.75 : x
  2. Step 2: Convert to fraction form
    749.19/1,033.48 = 486.75/x
  3. Step 3: Cross multiply
    749.19x = 1,033.48 × 486.75
  4. Step 4: Simplify right side
    749.19x = 503,045.17
  5. Step 5: Solve for x
    x = 503,045.17/749.19
  6. Step 6: Final answer
    x = 671.45

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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.