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Finding the Fourth Proportional to 875.59, 1,313.31 and 413.08

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Solution

The fourth proportional to 875.59, 1,313.31 and 413.08 is: 619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.59 : 1,313.31 = 413.08 : x
  2. Step 2: Convert to fraction form
    875.59/1,313.31 = 413.08/x
  3. Step 3: Cross multiply
    875.59x = 1,313.31 × 413.08
  4. Step 4: Simplify right side
    875.59x = 542,502.09
  5. Step 5: Solve for x
    x = 542,502.09/875.59
  6. Step 6: Final answer
    x = 619.58

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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.