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Finding the Fourth Proportional to 670.89, 924.34 and 502.14

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Solution

The fourth proportional to 670.89, 924.34 and 502.14 is: 691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.89 : 924.34 = 502.14 : x
  2. Step 2: Convert to fraction form
    670.89/924.34 = 502.14/x
  3. Step 3: Cross multiply
    670.89x = 924.34 × 502.14
  4. Step 4: Simplify right side
    670.89x = 464,148.09
  5. Step 5: Solve for x
    x = 464,148.09/670.89
  6. Step 6: Final answer
    x = 691.84

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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.