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Finding the Fourth Proportional to 688.58, 951.50 and 501.74

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Solution

The fourth proportional to 688.58, 951.50 and 501.74 is: 693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.58 : 951.50 = 501.74 : x
  2. Step 2: Convert to fraction form
    688.58/951.50 = 501.74/x
  3. Step 3: Cross multiply
    688.58x = 951.50 × 501.74
  4. Step 4: Simplify right side
    688.58x = 477,408.20
  5. Step 5: Solve for x
    x = 477,408.20/688.58
  6. Step 6: Final answer
    x = 693.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.