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Finding the Fourth Proportional to 877.05, 1,314.47 and 414.20

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Solution

The fourth proportional to 877.05, 1,314.47 and 414.20 is: 620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.05 : 1,314.47 = 414.20 : x
  2. Step 2: Convert to fraction form
    877.05/1,314.47 = 414.20/x
  3. Step 3: Cross multiply
    877.05x = 1,314.47 × 414.20
  4. Step 4: Simplify right side
    877.05x = 544,444.83
  5. Step 5: Solve for x
    x = 544,444.83/877.05
  6. Step 6: Final answer
    x = 620.77

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Why These Related Problems?

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