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Finding the Fourth Proportional to 690.52, 949.04 and 591.52

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Solution

The fourth proportional to 690.52, 949.04 and 591.52 is: 812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 949.04 = 591.52 : x
  2. Step 2: Convert to fraction form
    690.52/949.04 = 591.52/x
  3. Step 3: Cross multiply
    690.52x = 949.04 × 591.52
  4. Step 4: Simplify right side
    690.52x = 561,376.14
  5. Step 5: Solve for x
    x = 561,376.14/690.52
  6. Step 6: Final answer
    x = 812.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.