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Finding the Fourth Proportional to 875.35, 1,313.07 and 413.02

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Solution

The fourth proportional to 875.35, 1,313.07 and 413.02 is: 619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.35 : 1,313.07 = 413.02 : x
  2. Step 2: Convert to fraction form
    875.35/1,313.07 = 413.02/x
  3. Step 3: Cross multiply
    875.35x = 1,313.07 × 413.02
  4. Step 4: Simplify right side
    875.35x = 542,324.17
  5. Step 5: Solve for x
    x = 542,324.17/875.35
  6. Step 6: Final answer
    x = 619.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.