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Finding the Fourth Proportional to 877.14, 1,314.55 and 465.40

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Solution

The fourth proportional to 877.14, 1,314.55 and 465.40 is: 697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.14 : 1,314.55 = 465.40 : x
  2. Step 2: Convert to fraction form
    877.14/1,314.55 = 465.40/x
  3. Step 3: Cross multiply
    877.14x = 1,314.55 × 465.40
  4. Step 4: Simplify right side
    877.14x = 611,791.57
  5. Step 5: Solve for x
    x = 611,791.57/877.14
  6. Step 6: Final answer
    x = 697.48

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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.