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Finding the Fourth Proportional to 880.07, 1,214.53 and 507.13

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Solution

The fourth proportional to 880.07, 1,214.53 and 507.13 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.07 : 1,214.53 = 507.13 : x
  2. Step 2: Convert to fraction form
    880.07/1,214.53 = 507.13/x
  3. Step 3: Cross multiply
    880.07x = 1,214.53 × 507.13
  4. Step 4: Simplify right side
    880.07x = 615,920.29
  5. Step 5: Solve for x
    x = 615,920.29/880.07
  6. Step 6: Final answer
    x = 699.86

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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.