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Finding the Fourth Proportional to 942.35, 1,300.00 and 549.30

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Solution

The fourth proportional to 942.35, 1,300.00 and 549.30 is: 757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.35 : 1,300.00 = 549.30 : x
  2. Step 2: Convert to fraction form
    942.35/1,300.00 = 549.30/x
  3. Step 3: Cross multiply
    942.35x = 1,300.00 × 549.30
  4. Step 4: Simplify right side
    942.35x = 714,087.25
  5. Step 5: Solve for x
    x = 714,087.25/942.35
  6. Step 6: Final answer
    x = 757.77

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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.