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Finding the Fourth Proportional to 877.23, 1,315.62 and 260.79

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Solution

The fourth proportional to 877.23, 1,315.62 and 260.79 is: 391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.23 : 1,315.62 = 260.79 : x
  2. Step 2: Convert to fraction form
    877.23/1,315.62 = 260.79/x
  3. Step 3: Cross multiply
    877.23x = 1,315.62 × 260.79
  4. Step 4: Simplify right side
    877.23x = 343,100.54
  5. Step 5: Solve for x
    x = 343,100.54/877.23
  6. Step 6: Final answer
    x = 391.12

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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.