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Finding the Fourth Proportional to 521.10, 780.84 and 507.60

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Solution

The fourth proportional to 521.10, 780.84 and 507.60 is: 760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 780.84 = 507.60 : x
  2. Step 2: Convert to fraction form
    521.10/780.84 = 507.60/x
  3. Step 3: Cross multiply
    521.10x = 780.84 × 507.60
  4. Step 4: Simplify right side
    521.10x = 396,354.38
  5. Step 5: Solve for x
    x = 396,354.38/521.10
  6. Step 6: Final answer
    x = 760.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.