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Finding the Fourth Proportional to 880.00, 1,214.49 and 507.00

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Solution

The fourth proportional to 880.00, 1,214.49 and 507.00 is: 699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.00 : 1,214.49 = 507.00 : x
  2. Step 2: Convert to fraction form
    880.00/1,214.49 = 507.00/x
  3. Step 3: Cross multiply
    880.00x = 1,214.49 × 507.00
  4. Step 4: Simplify right side
    880.00x = 615,743.78
  5. Step 5: Solve for x
    x = 615,743.78/880.00
  6. Step 6: Final answer
    x = 699.71

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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.