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Finding the Fourth Proportional to 880.11, 1,214.46 and 507.11

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Solution

The fourth proportional to 880.11, 1,214.46 and 507.11 is: 699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.11 : 1,214.46 = 507.11 : x
  2. Step 2: Convert to fraction form
    880.11/1,214.46 = 507.11/x
  3. Step 3: Cross multiply
    880.11x = 1,214.46 × 507.11
  4. Step 4: Simplify right side
    880.11x = 615,858.74
  5. Step 5: Solve for x
    x = 615,858.74/880.11
  6. Step 6: Final answer
    x = 699.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.