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Finding the Fourth Proportional to 942.70, 1,300.88 and 549.66

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Solution

The fourth proportional to 942.70, 1,300.88 and 549.66 is: 758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.70 : 1,300.88 = 549.66 : x
  2. Step 2: Convert to fraction form
    942.70/1,300.88 = 549.66/x
  3. Step 3: Cross multiply
    942.70x = 1,300.88 × 549.66
  4. Step 4: Simplify right side
    942.70x = 715,041.70
  5. Step 5: Solve for x
    x = 715,041.70/942.70
  6. Step 6: Final answer
    x = 758.50

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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.