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Finding the Fourth Proportional to 942.88, 1,301.24 and 549.76

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Solution

The fourth proportional to 942.88, 1,301.24 and 549.76 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.88 : 1,301.24 = 549.76 : x
  2. Step 2: Convert to fraction form
    942.88/1,301.24 = 549.76/x
  3. Step 3: Cross multiply
    942.88x = 1,301.24 × 549.76
  4. Step 4: Simplify right side
    942.88x = 715,360.45
  5. Step 5: Solve for x
    x = 715,360.45/942.88
  6. Step 6: Final answer
    x = 758.70

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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.