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Finding the Fourth Proportional to 670.18, 925.74 and 524.64

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Solution

The fourth proportional to 670.18, 925.74 and 524.64 is: 724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.18 : 925.74 = 524.64 : x
  2. Step 2: Convert to fraction form
    670.18/925.74 = 524.64/x
  3. Step 3: Cross multiply
    670.18x = 925.74 × 524.64
  4. Step 4: Simplify right side
    670.18x = 485,680.23
  5. Step 5: Solve for x
    x = 485,680.23/670.18
  6. Step 6: Final answer
    x = 724.70

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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.