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Finding the Fourth Proportional to 942.63, 1,300.82 and 549.71

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Solution

The fourth proportional to 942.63, 1,300.82 and 549.71 is: 758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.63 : 1,300.82 = 549.71 : x
  2. Step 2: Convert to fraction form
    942.63/1,300.82 = 549.71/x
  3. Step 3: Cross multiply
    942.63x = 1,300.82 × 549.71
  4. Step 4: Simplify right side
    942.63x = 715,073.76
  5. Step 5: Solve for x
    x = 715,073.76/942.63
  6. Step 6: Final answer
    x = 758.59

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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.