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Finding the Fourth Proportional to 877.10, 1,314.68 and 414.58

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Solution

The fourth proportional to 877.10, 1,314.68 and 414.58 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.10 : 1,314.68 = 414.58 : x
  2. Step 2: Convert to fraction form
    877.10/1,314.68 = 414.58/x
  3. Step 3: Cross multiply
    877.10x = 1,314.68 × 414.58
  4. Step 4: Simplify right side
    877.10x = 545,040.03
  5. Step 5: Solve for x
    x = 545,040.03/877.10
  6. Step 6: Final answer
    x = 621.41

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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.