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Finding the Fourth Proportional to 875.63, 1,313.01 and 413.01

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Solution

The fourth proportional to 875.63, 1,313.01 and 413.01 is: 619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.63 : 1,313.01 = 413.01 : x
  2. Step 2: Convert to fraction form
    875.63/1,313.01 = 413.01/x
  3. Step 3: Cross multiply
    875.63x = 1,313.01 × 413.01
  4. Step 4: Simplify right side
    875.63x = 542,286.26
  5. Step 5: Solve for x
    x = 542,286.26/875.63
  6. Step 6: Final answer
    x = 619.31

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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.