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Finding the Fourth Proportional to 942.10, 1,300.06 and 549.11

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Solution

The fourth proportional to 942.10, 1,300.06 and 549.11 is: 757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.10 : 1,300.06 = 549.11 : x
  2. Step 2: Convert to fraction form
    942.10/1,300.06 = 549.11/x
  3. Step 3: Cross multiply
    942.10x = 1,300.06 × 549.11
  4. Step 4: Simplify right side
    942.10x = 713,875.95
  5. Step 5: Solve for x
    x = 713,875.95/942.10
  6. Step 6: Final answer
    x = 757.75

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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.