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Finding the Fourth Proportional to 690.96, 953.74 and 469.86

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Solution

The fourth proportional to 690.96, 953.74 and 469.86 is: 648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.96 : 953.74 = 469.86 : x
  2. Step 2: Convert to fraction form
    690.96/953.74 = 469.86/x
  3. Step 3: Cross multiply
    690.96x = 953.74 × 469.86
  4. Step 4: Simplify right side
    690.96x = 448,126.01
  5. Step 5: Solve for x
    x = 448,126.01/690.96
  6. Step 6: Final answer
    x = 648.56

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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.