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Finding the Fourth Proportional to 613.35, 846.63 and 504

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Solution

The fourth proportional to 613.35, 846.63 and 504 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.35 : 846.63 = 504 : x
  2. Step 2: Convert to fraction form
    613.35/846.63 = 504/x
  3. Step 3: Cross multiply
    613.35x = 846.63 × 504
  4. Step 4: Simplify right side
    613.35x = 426,701.52
  5. Step 5: Solve for x
    x = 426,701.52/613.35
  6. Step 6: Final answer
    x = 695.69

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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.