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Finding the Fourth Proportional to 876.71, 1,313.94 and 413.46

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Solution

The fourth proportional to 876.71, 1,313.94 and 413.46 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.71 : 1,313.94 = 413.46 : x
  2. Step 2: Convert to fraction form
    876.71/1,313.94 = 413.46/x
  3. Step 3: Cross multiply
    876.71x = 1,313.94 × 413.46
  4. Step 4: Simplify right side
    876.71x = 543,261.63
  5. Step 5: Solve for x
    x = 543,261.63/876.71
  6. Step 6: Final answer
    x = 619.66

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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.