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Finding the Fourth Proportional to 655.59, 904.86 and 507.78

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Solution

The fourth proportional to 655.59, 904.86 and 507.78 is: 700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.59 : 904.86 = 507.78 : x
  2. Step 2: Convert to fraction form
    655.59/904.86 = 507.78/x
  3. Step 3: Cross multiply
    655.59x = 904.86 × 507.78
  4. Step 4: Simplify right side
    655.59x = 459,469.81
  5. Step 5: Solve for x
    x = 459,469.81/655.59
  6. Step 6: Final answer
    x = 700.85

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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.