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Finding the Fourth Proportional to 690.65, 951.98 and 541.02

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Solution

The fourth proportional to 690.65, 951.98 and 541.02 is: 745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.65 : 951.98 = 541.02 : x
  2. Step 2: Convert to fraction form
    690.65/951.98 = 541.02/x
  3. Step 3: Cross multiply
    690.65x = 951.98 × 541.02
  4. Step 4: Simplify right side
    690.65x = 515,035.46
  5. Step 5: Solve for x
    x = 515,035.46/690.65
  6. Step 6: Final answer
    x = 745.73

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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.