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Finding the Fourth Proportional to 880.15, 1,214.64 and 507.14

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Solution

The fourth proportional to 880.15, 1,214.64 and 507.14 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.15 : 1,214.64 = 507.14 : x
  2. Step 2: Convert to fraction form
    880.15/1,214.64 = 507.14/x
  3. Step 3: Cross multiply
    880.15x = 1,214.64 × 507.14
  4. Step 4: Simplify right side
    880.15x = 615,997.84
  5. Step 5: Solve for x
    x = 615,997.84/880.15
  6. Step 6: Final answer
    x = 699.88

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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.