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Finding the Fourth Proportional to 877.99, 1,315.93 and 408.83

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Solution

The fourth proportional to 877.99, 1,315.93 and 408.83 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.99 : 1,315.93 = 408.83 : x
  2. Step 2: Convert to fraction form
    877.99/1,315.93 = 408.83/x
  3. Step 3: Cross multiply
    877.99x = 1,315.93 × 408.83
  4. Step 4: Simplify right side
    877.99x = 537,984.06
  5. Step 5: Solve for x
    x = 537,984.06/877.99
  6. Step 6: Final answer
    x = 612.75

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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.