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Finding the Fourth Proportional to 942.01, 1,299.98 and 549.16

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Solution

The fourth proportional to 942.01, 1,299.98 and 549.16 is: 757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.01 : 1,299.98 = 549.16 : x
  2. Step 2: Convert to fraction form
    942.01/1,299.98 = 549.16/x
  3. Step 3: Cross multiply
    942.01x = 1,299.98 × 549.16
  4. Step 4: Simplify right side
    942.01x = 713,897.02
  5. Step 5: Solve for x
    x = 713,897.02/942.01
  6. Step 6: Final answer
    x = 757.84

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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.